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Finding the Third Proportional to 224,237.75 and 347,565

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Solution

The third proportional to 224,237.75 and 347,565 is: 538,720.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,237.75 : 347,565 = 347,565 : x
  2. Step 2: Convert to fraction form
    224,237.75/347,565 = 347,565/x
  3. Step 3: Cross multiply
    224,237.75x = 347,565 × 347,565
  4. Step 4: Simplify right side
    224,237.75x = 120,801,429,225
  5. Step 5: Solve for x
    x = 120,801,429,225/224,237.75
  6. Step 6: Final answer
    x = 538,720.31

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.