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Finding the Third Proportional to 110,091.38 and 239,312.25

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Solution

The third proportional to 110,091.38 and 239,312.25 is: 520,207.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,091.38 : 239,312.25 = 239,312.25 : x
  2. Step 2: Convert to fraction form
    110,091.38/239,312.25 = 239,312.25/x
  3. Step 3: Cross multiply
    110,091.38x = 239,312.25 × 239,312.25
  4. Step 4: Simplify right side
    110,091.38x = 57,270,353,000.06
  5. Step 5: Solve for x
    x = 57,270,353,000.06/110,091.38
  6. Step 6: Final answer
    x = 520,207.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.