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Finding the Third Proportional to 166,688 and 359,438

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Solution

The third proportional to 166,688 and 359,438 is: 775,074.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,688 : 359,438 = 359,438 : x
  2. Step 2: Convert to fraction form
    166,688/359,438 = 359,438/x
  3. Step 3: Cross multiply
    166,688x = 359,438 × 359,438
  4. Step 4: Simplify right side
    166,688x = 129,195,675,844
  5. Step 5: Solve for x
    x = 129,195,675,844/166,688
  6. Step 6: Final answer
    x = 775,074.85

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Why These Related Problems?

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