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Finding the Third Proportional to 160,552 and 250,020

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Solution

The third proportional to 160,552 and 250,020 is: 389,344.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,552 : 250,020 = 250,020 : x
  2. Step 2: Convert to fraction form
    160,552/250,020 = 250,020/x
  3. Step 3: Cross multiply
    160,552x = 250,020 × 250,020
  4. Step 4: Simplify right side
    160,552x = 62,510,000,400
  5. Step 5: Solve for x
    x = 62,510,000,400/160,552
  6. Step 6: Final answer
    x = 389,344.26

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.