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Finding the Third Proportional to 113,297.48 and 238,258.97

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Solution

The third proportional to 113,297.48 and 238,258.97 is: 501,046.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,297.48 : 238,258.97 = 238,258.97 : x
  2. Step 2: Convert to fraction form
    113,297.48/238,258.97 = 238,258.97/x
  3. Step 3: Cross multiply
    113,297.48x = 238,258.97 × 238,258.97
  4. Step 4: Simplify right side
    113,297.48x = 56,767,336,189.81
  5. Step 5: Solve for x
    x = 56,767,336,189.81/113,297.48
  6. Step 6: Final answer
    x = 501,046.75

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.