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Finding the Third Proportional to 113,258.25 and 238,170.38

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Solution

The third proportional to 113,258.25 and 238,170.38 is: 500,847.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,258.25 : 238,170.38 = 238,170.38 : x
  2. Step 2: Convert to fraction form
    113,258.25/238,170.38 = 238,170.38/x
  3. Step 3: Cross multiply
    113,258.25x = 238,170.38 × 238,170.38
  4. Step 4: Simplify right side
    113,258.25x = 56,725,127,527.64
  5. Step 5: Solve for x
    x = 56,725,127,527.64/113,258.25
  6. Step 6: Final answer
    x = 500,847.64

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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.