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Finding the Third Proportional to 138,685.50 and 299,467.13

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Solution

The third proportional to 138,685.50 and 299,467.13 is: 646,646.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,685.50 : 299,467.13 = 299,467.13 : x
  2. Step 2: Convert to fraction form
    138,685.50/299,467.13 = 299,467.13/x
  3. Step 3: Cross multiply
    138,685.50x = 299,467.13 × 299,467.13
  4. Step 4: Simplify right side
    138,685.50x = 89,680,558,955.77
  5. Step 5: Solve for x
    x = 89,680,558,955.77/138,685.50
  6. Step 6: Final answer
    x = 646,646.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.