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Finding the Third Proportional to 247,146.75 and 369,869.63

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Solution

The third proportional to 247,146.75 and 369,869.63 is: 553,531.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,146.75 : 369,869.63 = 369,869.63 : x
  2. Step 2: Convert to fraction form
    247,146.75/369,869.63 = 369,869.63/x
  3. Step 3: Cross multiply
    247,146.75x = 369,869.63 × 369,869.63
  4. Step 4: Simplify right side
    247,146.75x = 136,803,539,497.64
  5. Step 5: Solve for x
    x = 136,803,539,497.64/247,146.75
  6. Step 6: Final answer
    x = 553,531.61

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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.