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Finding the Third Proportional to 177,903 and 260,565.19

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Solution

The third proportional to 177,903 and 260,565.19 is: 381,636.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,903 : 260,565.19 = 260,565.19 : x
  2. Step 2: Convert to fraction form
    177,903/260,565.19 = 260,565.19/x
  3. Step 3: Cross multiply
    177,903x = 260,565.19 × 260,565.19
  4. Step 4: Simplify right side
    177,903x = 67,894,216,936.91
  5. Step 5: Solve for x
    x = 67,894,216,936.91/177,903
  6. Step 6: Final answer
    x = 381,636.16

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.