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Finding the Third Proportional to 125,330.91 and 270,639.84

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Solution

The third proportional to 125,330.91 and 270,639.84 is: 584,420.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,330.91 : 270,639.84 = 270,639.84 : x
  2. Step 2: Convert to fraction form
    125,330.91/270,639.84 = 270,639.84/x
  3. Step 3: Cross multiply
    125,330.91x = 270,639.84 × 270,639.84
  4. Step 4: Simplify right side
    125,330.91x = 73,245,925,025.02
  5. Step 5: Solve for x
    x = 73,245,925,025.02/125,330.91
  6. Step 6: Final answer
    x = 584,420.29

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.