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Finding the Third Proportional to 166,489 and 359,581

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Solution

The third proportional to 166,489 and 359,581 is: 776,618.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,489 : 359,581 = 359,581 : x
  2. Step 2: Convert to fraction form
    166,489/359,581 = 359,581/x
  3. Step 3: Cross multiply
    166,489x = 359,581 × 359,581
  4. Step 4: Simplify right side
    166,489x = 129,298,495,561
  5. Step 5: Solve for x
    x = 129,298,495,561/166,489
  6. Step 6: Final answer
    x = 776,618.85

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.