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Finding the Third Proportional to 156,748.50 and 333,726.75

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Solution

The third proportional to 156,748.50 and 333,726.75 is: 710,523.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,748.50 : 333,726.75 = 333,726.75 : x
  2. Step 2: Convert to fraction form
    156,748.50/333,726.75 = 333,726.75/x
  3. Step 3: Cross multiply
    156,748.50x = 333,726.75 × 333,726.75
  4. Step 4: Simplify right side
    156,748.50x = 111,373,543,665.56
  5. Step 5: Solve for x
    x = 111,373,543,665.56/156,748.50
  6. Step 6: Final answer
    x = 710,523.82

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.