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Finding the Third Proportional to 135,047.25 and 291,026.25

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Solution

The third proportional to 135,047.25 and 291,026.25 is: 627,160.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,047.25 : 291,026.25 = 291,026.25 : x
  2. Step 2: Convert to fraction form
    135,047.25/291,026.25 = 291,026.25/x
  3. Step 3: Cross multiply
    135,047.25x = 291,026.25 × 291,026.25
  4. Step 4: Simplify right side
    135,047.25x = 84,696,278,189.06
  5. Step 5: Solve for x
    x = 84,696,278,189.06/135,047.25
  6. Step 6: Final answer
    x = 627,160.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.