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Finding the Third Proportional to 110,397.94 and 238,281.75

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Solution

The third proportional to 110,397.94 and 238,281.75 is: 514,304.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,397.94 : 238,281.75 = 238,281.75 : x
  2. Step 2: Convert to fraction form
    110,397.94/238,281.75 = 238,281.75/x
  3. Step 3: Cross multiply
    110,397.94x = 238,281.75 × 238,281.75
  4. Step 4: Simplify right side
    110,397.94x = 56,778,192,383.06
  5. Step 5: Solve for x
    x = 56,778,192,383.06/110,397.94
  6. Step 6: Final answer
    x = 514,304.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.