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Finding the Third Proportional to 224,248 and 347,580

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Solution

The third proportional to 224,248 and 347,580 is: 538,742.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,248 : 347,580 = 347,580 : x
  2. Step 2: Convert to fraction form
    224,248/347,580 = 347,580/x
  3. Step 3: Cross multiply
    224,248x = 347,580 × 347,580
  4. Step 4: Simplify right side
    224,248x = 120,811,856,400
  5. Step 5: Solve for x
    x = 120,811,856,400/224,248
  6. Step 6: Final answer
    x = 538,742.18

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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.