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Finding the Third Proportional to 136,570 and 298,048

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Solution

The third proportional to 136,570 and 298,048 is: 650,454.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,570 : 298,048 = 298,048 : x
  2. Step 2: Convert to fraction form
    136,570/298,048 = 298,048/x
  3. Step 3: Cross multiply
    136,570x = 298,048 × 298,048
  4. Step 4: Simplify right side
    136,570x = 88,832,610,304
  5. Step 5: Solve for x
    x = 88,832,610,304/136,570
  6. Step 6: Final answer
    x = 650,454.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.