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Finding the Third Proportional to 106,649 and 233,386

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Solution

The third proportional to 106,649 and 233,386 is: 510,731.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,649 : 233,386 = 233,386 : x
  2. Step 2: Convert to fraction form
    106,649/233,386 = 233,386/x
  3. Step 3: Cross multiply
    106,649x = 233,386 × 233,386
  4. Step 4: Simplify right side
    106,649x = 54,469,024,996
  5. Step 5: Solve for x
    x = 54,469,024,996/106,649
  6. Step 6: Final answer
    x = 510,731.70

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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.