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Finding the Third Proportional to 224,569 and 357,140

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Solution

The third proportional to 224,569 and 357,140 is: 567,972.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,569 : 357,140 = 357,140 : x
  2. Step 2: Convert to fraction form
    224,569/357,140 = 357,140/x
  3. Step 3: Cross multiply
    224,569x = 357,140 × 357,140
  4. Step 4: Simplify right side
    224,569x = 127,548,979,600
  5. Step 5: Solve for x
    x = 127,548,979,600/224,569
  6. Step 6: Final answer
    x = 567,972.34

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.