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Finding the Third Proportional to 156,834.56 and 243,190.69

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Solution

The third proportional to 156,834.56 and 243,190.69 is: 377,096.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,834.56 : 243,190.69 = 243,190.69 : x
  2. Step 2: Convert to fraction form
    156,834.56/243,190.69 = 243,190.69/x
  3. Step 3: Cross multiply
    156,834.56x = 243,190.69 × 243,190.69
  4. Step 4: Simplify right side
    156,834.56x = 59,141,710,486.72
  5. Step 5: Solve for x
    x = 59,141,710,486.72/156,834.56
  6. Step 6: Final answer
    x = 377,096.15

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.