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Finding the Third Proportional to 138,712 and 215,196

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Solution

The third proportional to 138,712 and 215,196 is: 333,852.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,712 : 215,196 = 215,196 : x
  2. Step 2: Convert to fraction form
    138,712/215,196 = 215,196/x
  3. Step 3: Cross multiply
    138,712x = 215,196 × 215,196
  4. Step 4: Simplify right side
    138,712x = 46,309,318,416
  5. Step 5: Solve for x
    x = 46,309,318,416/138,712
  6. Step 6: Final answer
    x = 333,852.29

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.