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Finding the Third Proportional to 224,230.50 and 335,728.13

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Solution

The third proportional to 224,230.50 and 335,728.13 is: 502,667.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,230.50 : 335,728.13 = 335,728.13 : x
  2. Step 2: Convert to fraction form
    224,230.50/335,728.13 = 335,728.13/x
  3. Step 3: Cross multiply
    224,230.50x = 335,728.13 × 335,728.13
  4. Step 4: Simplify right side
    224,230.50x = 112,713,373,916.02
  5. Step 5: Solve for x
    x = 112,713,373,916.02/224,230.50
  6. Step 6: Final answer
    x = 502,667.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.