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Finding the Third Proportional to 110,720.25 and 240,196.50

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Solution

The third proportional to 110,720.25 and 240,196.50 is: 521,082.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,720.25 : 240,196.50 = 240,196.50 : x
  2. Step 2: Convert to fraction form
    110,720.25/240,196.50 = 240,196.50/x
  3. Step 3: Cross multiply
    110,720.25x = 240,196.50 × 240,196.50
  4. Step 4: Simplify right side
    110,720.25x = 57,694,358,612.25
  5. Step 5: Solve for x
    x = 57,694,358,612.25/110,720.25
  6. Step 6: Final answer
    x = 521,082.26

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