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Finding the Third Proportional to 224,564 and 357,132

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Solution

The third proportional to 224,564 and 357,132 is: 567,959.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,564 : 357,132 = 357,132 : x
  2. Step 2: Convert to fraction form
    224,564/357,132 = 357,132/x
  3. Step 3: Cross multiply
    224,564x = 357,132 × 357,132
  4. Step 4: Simplify right side
    224,564x = 127,543,265,424
  5. Step 5: Solve for x
    x = 127,543,265,424/224,564
  6. Step 6: Final answer
    x = 567,959.54

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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.