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Finding the Third Proportional to 166,265.16 and 357,475.78

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Solution

The third proportional to 166,265.16 and 357,475.78 is: 768,585.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,265.16 : 357,475.78 = 357,475.78 : x
  2. Step 2: Convert to fraction form
    166,265.16/357,475.78 = 357,475.78/x
  3. Step 3: Cross multiply
    166,265.16x = 357,475.78 × 357,475.78
  4. Step 4: Simplify right side
    166,265.16x = 127,788,934,180.30
  5. Step 5: Solve for x
    x = 127,788,934,180.30/166,265.16
  6. Step 6: Final answer
    x = 768,585.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.