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Finding the Third Proportional to 109,876.50 and 233,241.75

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Solution

The third proportional to 109,876.50 and 233,241.75 is: 495,116.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,876.50 : 233,241.75 = 233,241.75 : x
  2. Step 2: Convert to fraction form
    109,876.50/233,241.75 = 233,241.75/x
  3. Step 3: Cross multiply
    109,876.50x = 233,241.75 × 233,241.75
  4. Step 4: Simplify right side
    109,876.50x = 54,401,713,943.06
  5. Step 5: Solve for x
    x = 54,401,713,943.06/109,876.50
  6. Step 6: Final answer
    x = 495,116.92

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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.