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Finding the Third Proportional to 181,279.50 and 254,828.25

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Solution

The third proportional to 181,279.50 and 254,828.25 is: 358,217.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,279.50 : 254,828.25 = 254,828.25 : x
  2. Step 2: Convert to fraction form
    181,279.50/254,828.25 = 254,828.25/x
  3. Step 3: Cross multiply
    181,279.50x = 254,828.25 × 254,828.25
  4. Step 4: Simplify right side
    181,279.50x = 64,937,436,998.06
  5. Step 5: Solve for x
    x = 64,937,436,998.06/181,279.50
  6. Step 6: Final answer
    x = 358,217.21

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.