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Finding the Third Proportional to 160,542 and 351,534

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Solution

The third proportional to 160,542 and 351,534 is: 769,743.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,542 : 351,534 = 351,534 : x
  2. Step 2: Convert to fraction form
    160,542/351,534 = 351,534/x
  3. Step 3: Cross multiply
    160,542x = 351,534 × 351,534
  4. Step 4: Simplify right side
    160,542x = 123,576,153,156
  5. Step 5: Solve for x
    x = 123,576,153,156/160,542
  6. Step 6: Final answer
    x = 769,743.45

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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.