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Finding the Third Proportional to 137,442 and 298,208

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Solution

The third proportional to 137,442 and 298,208 is: 647,022.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,442 : 298,208 = 298,208 : x
  2. Step 2: Convert to fraction form
    137,442/298,208 = 298,208/x
  3. Step 3: Cross multiply
    137,442x = 298,208 × 298,208
  4. Step 4: Simplify right side
    137,442x = 88,928,011,264
  5. Step 5: Solve for x
    x = 88,928,011,264/137,442
  6. Step 6: Final answer
    x = 647,022.10

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.