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Finding the Third Proportional to 217,542 and 334,473

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Solution

The third proportional to 217,542 and 334,473 is: 514,255.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,542 : 334,473 = 334,473 : x
  2. Step 2: Convert to fraction form
    217,542/334,473 = 334,473/x
  3. Step 3: Cross multiply
    217,542x = 334,473 × 334,473
  4. Step 4: Simplify right side
    217,542x = 111,872,187,729
  5. Step 5: Solve for x
    x = 111,872,187,729/217,542
  6. Step 6: Final answer
    x = 514,255.58

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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.