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Finding the Third Proportional to 138,196.50 and 299,718.75

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Solution

The third proportional to 138,196.50 and 299,718.75 is: 650,026.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,196.50 : 299,718.75 = 299,718.75 : x
  2. Step 2: Convert to fraction form
    138,196.50/299,718.75 = 299,718.75/x
  3. Step 3: Cross multiply
    138,196.50x = 299,718.75 × 299,718.75
  4. Step 4: Simplify right side
    138,196.50x = 89,831,329,101.56
  5. Step 5: Solve for x
    x = 89,831,329,101.56/138,196.50
  6. Step 6: Final answer
    x = 650,026.08

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.