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Finding the Third Proportional to 178,516.13 and 273,439.13

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Solution

The third proportional to 178,516.13 and 273,439.13 is: 418,835.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,516.13 : 273,439.13 = 273,439.13 : x
  2. Step 2: Convert to fraction form
    178,516.13/273,439.13 = 273,439.13/x
  3. Step 3: Cross multiply
    178,516.13x = 273,439.13 × 273,439.13
  4. Step 4: Simplify right side
    178,516.13x = 74,768,955,080.77
  5. Step 5: Solve for x
    x = 74,768,955,080.77/178,516.13
  6. Step 6: Final answer
    x = 418,835.86

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.