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Finding the Third Proportional to 177,602 and 263,703

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Solution

The third proportional to 177,602 and 263,703 is: 391,545.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,602 : 263,703 = 263,703 : x
  2. Step 2: Convert to fraction form
    177,602/263,703 = 263,703/x
  3. Step 3: Cross multiply
    177,602x = 263,703 × 263,703
  4. Step 4: Simplify right side
    177,602x = 69,539,272,209
  5. Step 5: Solve for x
    x = 69,539,272,209/177,602
  6. Step 6: Final answer
    x = 391,545.55

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.