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Finding the Third Proportional to 138,166 and 295,292

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Solution

The third proportional to 138,166 and 295,292 is: 631,105.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,166 : 295,292 = 295,292 : x
  2. Step 2: Convert to fraction form
    138,166/295,292 = 295,292/x
  3. Step 3: Cross multiply
    138,166x = 295,292 × 295,292
  4. Step 4: Simplify right side
    138,166x = 87,197,365,264
  5. Step 5: Solve for x
    x = 87,197,365,264/138,166
  6. Step 6: Final answer
    x = 631,105.81

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.