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Finding the Third Proportional to 136,903.88 and 299,616

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Solution

The third proportional to 136,903.88 and 299,616 is: 655,713.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,903.88 : 299,616 = 299,616 : x
  2. Step 2: Convert to fraction form
    136,903.88/299,616 = 299,616/x
  3. Step 3: Cross multiply
    136,903.88x = 299,616 × 299,616
  4. Step 4: Simplify right side
    136,903.88x = 89,769,747,456
  5. Step 5: Solve for x
    x = 89,769,747,456/136,903.88
  6. Step 6: Final answer
    x = 655,713.71

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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.