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Finding the Third Proportional to 121,419.56 and 264,948.19

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Solution

The third proportional to 121,419.56 and 264,948.19 is: 578,140.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,419.56 : 264,948.19 = 264,948.19 : x
  2. Step 2: Convert to fraction form
    121,419.56/264,948.19 = 264,948.19/x
  3. Step 3: Cross multiply
    121,419.56x = 264,948.19 × 264,948.19
  4. Step 4: Simplify right side
    121,419.56x = 70,197,542,059.54
  5. Step 5: Solve for x
    x = 70,197,542,059.54/121,419.56
  6. Step 6: Final answer
    x = 578,140.30

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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.