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Finding the Third Proportional to 141,223.50 and 224,997.75

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Solution

The third proportional to 141,223.50 and 224,997.75 is: 358,467.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,223.50 : 224,997.75 = 224,997.75 : x
  2. Step 2: Convert to fraction form
    141,223.50/224,997.75 = 224,997.75/x
  3. Step 3: Cross multiply
    141,223.50x = 224,997.75 × 224,997.75
  4. Step 4: Simplify right side
    141,223.50x = 50,623,987,505.06
  5. Step 5: Solve for x
    x = 50,623,987,505.06/141,223.50
  6. Step 6: Final answer
    x = 358,467.16

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.