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Finding the Third Proportional to 136,370.25 and 297,524.25

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Solution

The third proportional to 136,370.25 and 297,524.25 is: 649,120.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,370.25 : 297,524.25 = 297,524.25 : x
  2. Step 2: Convert to fraction form
    136,370.25/297,524.25 = 297,524.25/x
  3. Step 3: Cross multiply
    136,370.25x = 297,524.25 × 297,524.25
  4. Step 4: Simplify right side
    136,370.25x = 88,520,679,338.06
  5. Step 5: Solve for x
    x = 88,520,679,338.06/136,370.25
  6. Step 6: Final answer
    x = 649,120.17

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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.