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Finding the Third Proportional to 159,543 and 247,006.13

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Solution

The third proportional to 159,543 and 247,006.13 is: 382,417.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,543 : 247,006.13 = 247,006.13 : x
  2. Step 2: Convert to fraction form
    159,543/247,006.13 = 247,006.13/x
  3. Step 3: Cross multiply
    159,543x = 247,006.13 × 247,006.13
  4. Step 4: Simplify right side
    159,543x = 61,012,025,787.52
  5. Step 5: Solve for x
    x = 61,012,025,787.52/159,543
  6. Step 6: Final answer
    x = 382,417.44

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.