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Finding the Third Proportional to 106,750 and 232,292

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Solution

The third proportional to 106,750 and 232,292 is: 505,476.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,750 : 232,292 = 232,292 : x
  2. Step 2: Convert to fraction form
    106,750/232,292 = 232,292/x
  3. Step 3: Cross multiply
    106,750x = 232,292 × 232,292
  4. Step 4: Simplify right side
    106,750x = 53,959,573,264
  5. Step 5: Solve for x
    x = 53,959,573,264/106,750
  6. Step 6: Final answer
    x = 505,476.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.