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Finding the Third Proportional to 210,201 and 461,281.50

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Solution

The third proportional to 210,201 and 461,281.50 is: 1,012,272.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,201 : 461,281.50 = 461,281.50 : x
  2. Step 2: Convert to fraction form
    210,201/461,281.50 = 461,281.50/x
  3. Step 3: Cross multiply
    210,201x = 461,281.50 × 461,281.50
  4. Step 4: Simplify right side
    210,201x = 212,780,622,242.25
  5. Step 5: Solve for x
    x = 212,780,622,242.25/210,201
  6. Step 6: Final answer
    x = 1,012,272.17

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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.