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Finding the Third Proportional to 136,662 and 299,649

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Solution

The third proportional to 136,662 and 299,649 is: 657,018.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,662 : 299,649 = 299,649 : x
  2. Step 2: Convert to fraction form
    136,662/299,649 = 299,649/x
  3. Step 3: Cross multiply
    136,662x = 299,649 × 299,649
  4. Step 4: Simplify right side
    136,662x = 89,789,523,201
  5. Step 5: Solve for x
    x = 89,789,523,201/136,662
  6. Step 6: Final answer
    x = 657,018.95

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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.