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Finding the Third Proportional to 247,147.50 and 369,870

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Solution

The third proportional to 247,147.50 and 369,870 is: 553,531.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,147.50 : 369,870 = 369,870 : x
  2. Step 2: Convert to fraction form
    247,147.50/369,870 = 369,870/x
  3. Step 3: Cross multiply
    247,147.50x = 369,870 × 369,870
  4. Step 4: Simplify right side
    247,147.50x = 136,803,816,900
  5. Step 5: Solve for x
    x = 136,803,816,900/247,147.50
  6. Step 6: Final answer
    x = 553,531.06

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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.