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Finding the Third Proportional to 110,341.13 and 233,923.78

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Solution

The third proportional to 110,341.13 and 233,923.78 is: 495,919.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,341.13 : 233,923.78 = 233,923.78 : x
  2. Step 2: Convert to fraction form
    110,341.13/233,923.78 = 233,923.78/x
  3. Step 3: Cross multiply
    110,341.13x = 233,923.78 × 233,923.78
  4. Step 4: Simplify right side
    110,341.13x = 54,720,335,434.30
  5. Step 5: Solve for x
    x = 54,720,335,434.30/110,341.13
  6. Step 6: Final answer
    x = 495,919.68

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.