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Finding the Third Proportional to 136,903.25 and 299,614.75

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Solution

The third proportional to 136,903.25 and 299,614.75 is: 655,711.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,903.25 : 299,614.75 = 299,614.75 : x
  2. Step 2: Convert to fraction form
    136,903.25/299,614.75 = 299,614.75/x
  3. Step 3: Cross multiply
    136,903.25x = 299,614.75 × 299,614.75
  4. Step 4: Simplify right side
    136,903.25x = 89,768,998,417.56
  5. Step 5: Solve for x
    x = 89,768,998,417.56/136,903.25
  6. Step 6: Final answer
    x = 655,711.23

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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.