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Finding the Third Proportional to 137,615.06 and 298,131.19

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Solution

The third proportional to 137,615.06 and 298,131.19 is: 645,875.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,615.06 : 298,131.19 = 298,131.19 : x
  2. Step 2: Convert to fraction form
    137,615.06/298,131.19 = 298,131.19/x
  3. Step 3: Cross multiply
    137,615.06x = 298,131.19 × 298,131.19
  4. Step 4: Simplify right side
    137,615.06x = 88,882,204,960.16
  5. Step 5: Solve for x
    x = 88,882,204,960.16/137,615.06
  6. Step 6: Final answer
    x = 645,875.56

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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.