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Finding the Third Proportional to 166,712 and 355,292

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Solution

The third proportional to 166,712 and 355,292 is: 757,188.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,712 : 355,292 = 355,292 : x
  2. Step 2: Convert to fraction form
    166,712/355,292 = 355,292/x
  3. Step 3: Cross multiply
    166,712x = 355,292 × 355,292
  4. Step 4: Simplify right side
    166,712x = 126,232,405,264
  5. Step 5: Solve for x
    x = 126,232,405,264/166,712
  6. Step 6: Final answer
    x = 757,188.48

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.