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Finding the Third Proportional to 153,732.94 and 337,081.50

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Solution

The third proportional to 153,732.94 and 337,081.50 is: 739,099.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,732.94 : 337,081.50 = 337,081.50 : x
  2. Step 2: Convert to fraction form
    153,732.94/337,081.50 = 337,081.50/x
  3. Step 3: Cross multiply
    153,732.94x = 337,081.50 × 337,081.50
  4. Step 4: Simplify right side
    153,732.94x = 113,623,937,642.25
  5. Step 5: Solve for x
    x = 113,623,937,642.25/153,732.94
  6. Step 6: Final answer
    x = 739,099.50

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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.