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Finding the Third Proportional to 136,651 and 299,628

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Solution

The third proportional to 136,651 and 299,628 is: 656,979.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,651 : 299,628 = 299,628 : x
  2. Step 2: Convert to fraction form
    136,651/299,628 = 299,628/x
  3. Step 3: Cross multiply
    136,651x = 299,628 × 299,628
  4. Step 4: Simplify right side
    136,651x = 89,776,938,384
  5. Step 5: Solve for x
    x = 89,776,938,384/136,651
  6. Step 6: Final answer
    x = 656,979.74

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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.