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Finding the Third Proportional to 140,535 and 224,775

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Solution

The third proportional to 140,535 and 224,775 is: 359,510.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,535 : 224,775 = 224,775 : x
  2. Step 2: Convert to fraction form
    140,535/224,775 = 224,775/x
  3. Step 3: Cross multiply
    140,535x = 224,775 × 224,775
  4. Step 4: Simplify right side
    140,535x = 50,523,800,625
  5. Step 5: Solve for x
    x = 50,523,800,625/140,535
  6. Step 6: Final answer
    x = 359,510.45

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.