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Finding the Third Proportional to 133,520.91 and 178,360.10

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Solution

The third proportional to 133,520.91 and 178,360.10 is: 238,257.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,520.91 : 178,360.10 = 178,360.10 : x
  2. Step 2: Convert to fraction form
    133,520.91/178,360.10 = 178,360.10/x
  3. Step 3: Cross multiply
    133,520.91x = 178,360.10 × 178,360.10
  4. Step 4: Simplify right side
    133,520.91x = 31,812,325,829.39
  5. Step 5: Solve for x
    x = 31,812,325,829.39/133,520.91
  6. Step 6: Final answer
    x = 238,257.26

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.