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Finding the Third Proportional to 247,154 and 369,880

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Solution

The third proportional to 247,154 and 369,880 is: 553,546.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,154 : 369,880 = 369,880 : x
  2. Step 2: Convert to fraction form
    247,154/369,880 = 369,880/x
  3. Step 3: Cross multiply
    247,154x = 369,880 × 369,880
  4. Step 4: Simplify right side
    247,154x = 136,811,214,400
  5. Step 5: Solve for x
    x = 136,811,214,400/247,154
  6. Step 6: Final answer
    x = 553,546.43

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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.