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Finding the Third Proportional to 247,149 and 369,873

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Solution

The third proportional to 247,149 and 369,873 is: 553,536.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,149 : 369,873 = 369,873 : x
  2. Step 2: Convert to fraction form
    247,149/369,873 = 369,873/x
  3. Step 3: Cross multiply
    247,149x = 369,873 × 369,873
  4. Step 4: Simplify right side
    247,149x = 136,806,036,129
  5. Step 5: Solve for x
    x = 136,806,036,129/247,149
  6. Step 6: Final answer
    x = 553,536.68

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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.