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Finding the Third Proportional to 138,541 and 299,184

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Solution

The third proportional to 138,541 and 299,184 is: 646,098.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,541 : 299,184 = 299,184 : x
  2. Step 2: Convert to fraction form
    138,541/299,184 = 299,184/x
  3. Step 3: Cross multiply
    138,541x = 299,184 × 299,184
  4. Step 4: Simplify right side
    138,541x = 89,511,065,856
  5. Step 5: Solve for x
    x = 89,511,065,856/138,541
  6. Step 6: Final answer
    x = 646,098.02

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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.