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Finding the Third Proportional to 231,738.75 and 310,384.13

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Solution

The third proportional to 231,738.75 and 310,384.13 is: 415,719.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,738.75 : 310,384.13 = 310,384.13 : x
  2. Step 2: Convert to fraction form
    231,738.75/310,384.13 = 310,384.13/x
  3. Step 3: Cross multiply
    231,738.75x = 310,384.13 × 310,384.13
  4. Step 4: Simplify right side
    231,738.75x = 96,338,305,052.02
  5. Step 5: Solve for x
    x = 96,338,305,052.02/231,738.75
  6. Step 6: Final answer
    x = 415,719.45

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.