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Finding the Third Proportional to 115,473 and 253,625

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Solution

The third proportional to 115,473 and 253,625 is: 557,062.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,473 : 253,625 = 253,625 : x
  2. Step 2: Convert to fraction form
    115,473/253,625 = 253,625/x
  3. Step 3: Cross multiply
    115,473x = 253,625 × 253,625
  4. Step 4: Simplify right side
    115,473x = 64,325,640,625
  5. Step 5: Solve for x
    x = 64,325,640,625/115,473
  6. Step 6: Final answer
    x = 557,062.18

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.