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Finding the Third Proportional to 224,257.50 and 347,595.75

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Solution

The third proportional to 224,257.50 and 347,595.75 is: 538,768.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,257.50 : 347,595.75 = 347,595.75 : x
  2. Step 2: Convert to fraction form
    224,257.50/347,595.75 = 347,595.75/x
  3. Step 3: Cross multiply
    224,257.50x = 347,595.75 × 347,595.75
  4. Step 4: Simplify right side
    224,257.50x = 120,822,805,418.06
  5. Step 5: Solve for x
    x = 120,822,805,418.06/224,257.50
  6. Step 6: Final answer
    x = 538,768.18

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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.