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Finding the Third Proportional to 177,901.50 and 260,565

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Solution

The third proportional to 177,901.50 and 260,565 is: 381,638.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,901.50 : 260,565 = 260,565 : x
  2. Step 2: Convert to fraction form
    177,901.50/260,565 = 260,565/x
  3. Step 3: Cross multiply
    177,901.50x = 260,565 × 260,565
  4. Step 4: Simplify right side
    177,901.50x = 67,894,119,225
  5. Step 5: Solve for x
    x = 67,894,119,225/177,901.50
  6. Step 6: Final answer
    x = 381,638.82

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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.