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Finding the Third Proportional to 138,447.35 and 302,517.91

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Solution

The third proportional to 138,447.35 and 302,517.91 is: 661,024.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,447.35 : 302,517.91 = 302,517.91 : x
  2. Step 2: Convert to fraction form
    138,447.35/302,517.91 = 302,517.91/x
  3. Step 3: Cross multiply
    138,447.35x = 302,517.91 × 302,517.91
  4. Step 4: Simplify right side
    138,447.35x = 91,517,088,328.73
  5. Step 5: Solve for x
    x = 91,517,088,328.73/138,447.35
  6. Step 6: Final answer
    x = 661,024.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.