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Finding the Third Proportional to 247,086 and 369,522

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Solution

The third proportional to 247,086 and 369,522 is: 552,627.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,086 : 369,522 = 369,522 : x
  2. Step 2: Convert to fraction form
    247,086/369,522 = 369,522/x
  3. Step 3: Cross multiply
    247,086x = 369,522 × 369,522
  4. Step 4: Simplify right side
    247,086x = 136,546,508,484
  5. Step 5: Solve for x
    x = 136,546,508,484/247,086
  6. Step 6: Final answer
    x = 552,627.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.