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Finding the Third Proportional to 113,175 and 238,743

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Solution

The third proportional to 113,175 and 238,743 is: 503,629.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,175 : 238,743 = 238,743 : x
  2. Step 2: Convert to fraction form
    113,175/238,743 = 238,743/x
  3. Step 3: Cross multiply
    113,175x = 238,743 × 238,743
  4. Step 4: Simplify right side
    113,175x = 56,998,220,049
  5. Step 5: Solve for x
    x = 56,998,220,049/113,175
  6. Step 6: Final answer
    x = 503,629.07

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.