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Finding the Third Proportional to 109,741.50 and 235,851.75

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Solution

The third proportional to 109,741.50 and 235,851.75 is: 506,882.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,741.50 : 235,851.75 = 235,851.75 : x
  2. Step 2: Convert to fraction form
    109,741.50/235,851.75 = 235,851.75/x
  3. Step 3: Cross multiply
    109,741.50x = 235,851.75 × 235,851.75
  4. Step 4: Simplify right side
    109,741.50x = 55,626,047,978.06
  5. Step 5: Solve for x
    x = 55,626,047,978.06/109,741.50
  6. Step 6: Final answer
    x = 506,882.52

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.