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Finding the Third Proportional to 155,737 and 244,673

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Solution

The third proportional to 155,737 and 244,673 is: 384,397.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,737 : 244,673 = 244,673 : x
  2. Step 2: Convert to fraction form
    155,737/244,673 = 244,673/x
  3. Step 3: Cross multiply
    155,737x = 244,673 × 244,673
  4. Step 4: Simplify right side
    155,737x = 59,864,876,929
  5. Step 5: Solve for x
    x = 59,864,876,929/155,737
  6. Step 6: Final answer
    x = 384,397.27

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.