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Finding the Third Proportional to 138,404 and 299,002

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Solution

The third proportional to 138,404 and 299,002 is: 645,950.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,404 : 299,002 = 299,002 : x
  2. Step 2: Convert to fraction form
    138,404/299,002 = 299,002/x
  3. Step 3: Cross multiply
    138,404x = 299,002 × 299,002
  4. Step 4: Simplify right side
    138,404x = 89,402,196,004
  5. Step 5: Solve for x
    x = 89,402,196,004/138,404
  6. Step 6: Final answer
    x = 645,950.96

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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.