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Finding the Third Proportional to 136,959 and 293,250

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Solution

The third proportional to 136,959 and 293,250 is: 627,892.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,959 : 293,250 = 293,250 : x
  2. Step 2: Convert to fraction form
    136,959/293,250 = 293,250/x
  3. Step 3: Cross multiply
    136,959x = 293,250 × 293,250
  4. Step 4: Simplify right side
    136,959x = 85,995,562,500
  5. Step 5: Solve for x
    x = 85,995,562,500/136,959
  6. Step 6: Final answer
    x = 627,892.75

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.