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Finding the Third Proportional to 121,209.75 and 264,451.50

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Solution

The third proportional to 121,209.75 and 264,451.50 is: 576,971.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,209.75 : 264,451.50 = 264,451.50 : x
  2. Step 2: Convert to fraction form
    121,209.75/264,451.50 = 264,451.50/x
  3. Step 3: Cross multiply
    121,209.75x = 264,451.50 × 264,451.50
  4. Step 4: Simplify right side
    121,209.75x = 69,934,595,852.25
  5. Step 5: Solve for x
    x = 69,934,595,852.25/121,209.75
  6. Step 6: Final answer
    x = 576,971.70

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.