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Finding the Third Proportional to 139,330.13 and 305,359.88

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Solution

The third proportional to 139,330.13 and 305,359.88 is: 669,235.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,330.13 : 305,359.88 = 305,359.88 : x
  2. Step 2: Convert to fraction form
    139,330.13/305,359.88 = 305,359.88/x
  3. Step 3: Cross multiply
    139,330.13x = 305,359.88 × 305,359.88
  4. Step 4: Simplify right side
    139,330.13x = 93,244,653,260.02
  5. Step 5: Solve for x
    x = 93,244,653,260.02/139,330.13
  6. Step 6: Final answer
    x = 669,235.41

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.