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Finding the Third Proportional to 160,560 and 250,034

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Solution

The third proportional to 160,560 and 250,034 is: 389,368.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,560 : 250,034 = 250,034 : x
  2. Step 2: Convert to fraction form
    160,560/250,034 = 250,034/x
  3. Step 3: Cross multiply
    160,560x = 250,034 × 250,034
  4. Step 4: Simplify right side
    160,560x = 62,517,001,156
  5. Step 5: Solve for x
    x = 62,517,001,156/160,560
  6. Step 6: Final answer
    x = 389,368.47

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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.