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Finding the Third Proportional to 210,237.19 and 461,200.50

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Solution

The third proportional to 210,237.19 and 461,200.50 is: 1,011,742.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,237.19 : 461,200.50 = 461,200.50 : x
  2. Step 2: Convert to fraction form
    210,237.19/461,200.50 = 461,200.50/x
  3. Step 3: Cross multiply
    210,237.19x = 461,200.50 × 461,200.50
  4. Step 4: Simplify right side
    210,237.19x = 212,705,901,200.25
  5. Step 5: Solve for x
    x = 212,705,901,200.25/210,237.19
  6. Step 6: Final answer
    x = 1,011,742.52

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.