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Finding the Third Proportional to 166,340.25 and 357,588

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Solution

The third proportional to 166,340.25 and 357,588 is: 768,720.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,340.25 : 357,588 = 357,588 : x
  2. Step 2: Convert to fraction form
    166,340.25/357,588 = 357,588/x
  3. Step 3: Cross multiply
    166,340.25x = 357,588 × 357,588
  4. Step 4: Simplify right side
    166,340.25x = 127,869,177,744
  5. Step 5: Solve for x
    x = 127,869,177,744/166,340.25
  6. Step 6: Final answer
    x = 768,720.61

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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.