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Finding the Third Proportional to 136,192.50 and 299,259

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Solution

The third proportional to 136,192.50 and 299,259 is: 657,568.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,192.50 : 299,259 = 299,259 : x
  2. Step 2: Convert to fraction form
    136,192.50/299,259 = 299,259/x
  3. Step 3: Cross multiply
    136,192.50x = 299,259 × 299,259
  4. Step 4: Simplify right side
    136,192.50x = 89,555,949,081
  5. Step 5: Solve for x
    x = 89,555,949,081/136,192.50
  6. Step 6: Final answer
    x = 657,568.88

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.