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Finding the Third Proportional to 153,418 and 334,727

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Solution

The third proportional to 153,418 and 334,727 is: 730,306.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,418 : 334,727 = 334,727 : x
  2. Step 2: Convert to fraction form
    153,418/334,727 = 334,727/x
  3. Step 3: Cross multiply
    153,418x = 334,727 × 334,727
  4. Step 4: Simplify right side
    153,418x = 112,042,164,529
  5. Step 5: Solve for x
    x = 112,042,164,529/153,418
  6. Step 6: Final answer
    x = 730,306.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.