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Finding the Third Proportional to 224,566 and 357,135

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Solution

The third proportional to 224,566 and 357,135 is: 567,964.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,566 : 357,135 = 357,135 : x
  2. Step 2: Convert to fraction form
    224,566/357,135 = 357,135/x
  3. Step 3: Cross multiply
    224,566x = 357,135 × 357,135
  4. Step 4: Simplify right side
    224,566x = 127,545,408,225
  5. Step 5: Solve for x
    x = 127,545,408,225/224,566
  6. Step 6: Final answer
    x = 567,964.02

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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.