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Finding the Third Proportional to 153,363.38 and 334,232.26

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Solution

The third proportional to 153,363.38 and 334,232.26 is: 728,408.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,363.38 : 334,232.26 = 334,232.26 : x
  2. Step 2: Convert to fraction form
    153,363.38/334,232.26 = 334,232.26/x
  3. Step 3: Cross multiply
    153,363.38x = 334,232.26 × 334,232.26
  4. Step 4: Simplify right side
    153,363.38x = 111,711,204,773.63
  5. Step 5: Solve for x
    x = 111,711,204,773.63/153,363.38
  6. Step 6: Final answer
    x = 728,408.62

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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.