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Finding the Third Proportional to 205,737.47 and 293,638.92

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Solution

The third proportional to 205,737.47 and 293,638.92 is: 419,096.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,737.47 : 293,638.92 = 293,638.92 : x
  2. Step 2: Convert to fraction form
    205,737.47/293,638.92 = 293,638.92/x
  3. Step 3: Cross multiply
    205,737.47x = 293,638.92 × 293,638.92
  4. Step 4: Simplify right side
    205,737.47x = 86,223,816,439.91
  5. Step 5: Solve for x
    x = 86,223,816,439.91/205,737.47
  6. Step 6: Final answer
    x = 419,096.32

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.