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Finding the Third Proportional to 80,460 and 176,985

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Solution

The third proportional to 80,460 and 176,985 is: 389,307.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,460 : 176,985 = 176,985 : x
  2. Step 2: Convert to fraction form
    80,460/176,985 = 176,985/x
  3. Step 3: Cross multiply
    80,460x = 176,985 × 176,985
  4. Step 4: Simplify right side
    80,460x = 31,323,690,225
  5. Step 5: Solve for x
    x = 31,323,690,225/80,460
  6. Step 6: Final answer
    x = 389,307.61

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.