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Finding the Third Proportional to 210,281.70 and 461,274.54

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Solution

The third proportional to 210,281.70 and 461,274.54 is: 1,011,853.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,281.70 : 461,274.54 = 461,274.54 : x
  2. Step 2: Convert to fraction form
    210,281.70/461,274.54 = 461,274.54/x
  3. Step 3: Cross multiply
    210,281.70x = 461,274.54 × 461,274.54
  4. Step 4: Simplify right side
    210,281.70x = 212,774,200,387.32
  5. Step 5: Solve for x
    x = 212,774,200,387.32/210,281.70
  6. Step 6: Final answer
    x = 1,011,853.17

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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.