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Finding the Third Proportional to 137,494.13 and 298,316.25

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Solution

The third proportional to 137,494.13 and 298,316.25 is: 647,246.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,494.13 : 298,316.25 = 298,316.25 : x
  2. Step 2: Convert to fraction form
    137,494.13/298,316.25 = 298,316.25/x
  3. Step 3: Cross multiply
    137,494.13x = 298,316.25 × 298,316.25
  4. Step 4: Simplify right side
    137,494.13x = 88,992,585,014.06
  5. Step 5: Solve for x
    x = 88,992,585,014.06/137,494.13
  6. Step 6: Final answer
    x = 647,246.46

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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.