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Finding the Third Proportional to 217,536 and 334,464

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Solution

The third proportional to 217,536 and 334,464 is: 514,242.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,536 : 334,464 = 334,464 : x
  2. Step 2: Convert to fraction form
    217,536/334,464 = 334,464/x
  3. Step 3: Cross multiply
    217,536x = 334,464 × 334,464
  4. Step 4: Simplify right side
    217,536x = 111,866,167,296
  5. Step 5: Solve for x
    x = 111,866,167,296/217,536
  6. Step 6: Final answer
    x = 514,242.09

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.