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Finding the Third Proportional to 160,534 and 351,518

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Solution

The third proportional to 160,534 and 351,518 is: 769,711.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,534 : 351,518 = 351,518 : x
  2. Step 2: Convert to fraction form
    160,534/351,518 = 351,518/x
  3. Step 3: Cross multiply
    160,534x = 351,518 × 351,518
  4. Step 4: Simplify right side
    160,534x = 123,564,904,324
  5. Step 5: Solve for x
    x = 123,564,904,324/160,534
  6. Step 6: Final answer
    x = 769,711.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.