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Finding the Third Proportional to 138,516 and 299,179.50

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Solution

The third proportional to 138,516 and 299,179.50 is: 646,195.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,516 : 299,179.50 = 299,179.50 : x
  2. Step 2: Convert to fraction form
    138,516/299,179.50 = 299,179.50/x
  3. Step 3: Cross multiply
    138,516x = 299,179.50 × 299,179.50
  4. Step 4: Simplify right side
    138,516x = 89,508,373,220.25
  5. Step 5: Solve for x
    x = 89,508,373,220.25/138,516
  6. Step 6: Final answer
    x = 646,195.19

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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.