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Finding the Third Proportional to 121,505.25 and 261,636.75

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Solution

The third proportional to 121,505.25 and 261,636.75 is: 563,381.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,505.25 : 261,636.75 = 261,636.75 : x
  2. Step 2: Convert to fraction form
    121,505.25/261,636.75 = 261,636.75/x
  3. Step 3: Cross multiply
    121,505.25x = 261,636.75 × 261,636.75
  4. Step 4: Simplify right side
    121,505.25x = 68,453,788,950.56
  5. Step 5: Solve for x
    x = 68,453,788,950.56/121,505.25
  6. Step 6: Final answer
    x = 563,381.33

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