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Finding the Third Proportional to 115,857 and 253,857.38

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Solution

The third proportional to 115,857 and 253,857.38 is: 556,233.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,857 : 253,857.38 = 253,857.38 : x
  2. Step 2: Convert to fraction form
    115,857/253,857.38 = 253,857.38/x
  3. Step 3: Cross multiply
    115,857x = 253,857.38 × 253,857.38
  4. Step 4: Simplify right side
    115,857x = 64,443,566,841.89
  5. Step 5: Solve for x
    x = 64,443,566,841.89/115,857
  6. Step 6: Final answer
    x = 556,233.69

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.