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Finding the Third Proportional to 166,602 and 359,814

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Solution

The third proportional to 166,602 and 359,814 is: 777,098.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,602 : 359,814 = 359,814 : x
  2. Step 2: Convert to fraction form
    166,602/359,814 = 359,814/x
  3. Step 3: Cross multiply
    166,602x = 359,814 × 359,814
  4. Step 4: Simplify right side
    166,602x = 129,466,114,596
  5. Step 5: Solve for x
    x = 129,466,114,596/166,602
  6. Step 6: Final answer
    x = 777,098.20

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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.