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Finding the Third Proportional to 138,805 and 301,394

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Solution

The third proportional to 138,805 and 301,394 is: 654,431.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,805 : 301,394 = 301,394 : x
  2. Step 2: Convert to fraction form
    138,805/301,394 = 301,394/x
  3. Step 3: Cross multiply
    138,805x = 301,394 × 301,394
  4. Step 4: Simplify right side
    138,805x = 90,838,343,236
  5. Step 5: Solve for x
    x = 90,838,343,236/138,805
  6. Step 6: Final answer
    x = 654,431.35

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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.