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Finding the Third Proportional to 233,659.69 and 350,099.72

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Solution

The third proportional to 233,659.69 and 350,099.72 is: 524,565.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,659.69 : 350,099.72 = 350,099.72 : x
  2. Step 2: Convert to fraction form
    233,659.69/350,099.72 = 350,099.72/x
  3. Step 3: Cross multiply
    233,659.69x = 350,099.72 × 350,099.72
  4. Step 4: Simplify right side
    233,659.69x = 122,569,813,068.83
  5. Step 5: Solve for x
    x = 122,569,813,068.83/233,659.69
  6. Step 6: Final answer
    x = 524,565.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.