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Finding the Third Proportional to 107,982 and 232,264

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Solution

The third proportional to 107,982 and 232,264 is: 499,588.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,982 : 232,264 = 232,264 : x
  2. Step 2: Convert to fraction form
    107,982/232,264 = 232,264/x
  3. Step 3: Cross multiply
    107,982x = 232,264 × 232,264
  4. Step 4: Simplify right side
    107,982x = 53,946,565,696
  5. Step 5: Solve for x
    x = 53,946,565,696/107,982
  6. Step 6: Final answer
    x = 499,588.50

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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.