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Finding the Third Proportional to 224,154 and 347,058

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Solution

The third proportional to 224,154 and 347,058 is: 537,350.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,154 : 347,058 = 347,058 : x
  2. Step 2: Convert to fraction form
    224,154/347,058 = 347,058/x
  3. Step 3: Cross multiply
    224,154x = 347,058 × 347,058
  4. Step 4: Simplify right side
    224,154x = 120,449,255,364
  5. Step 5: Solve for x
    x = 120,449,255,364/224,154
  6. Step 6: Final answer
    x = 537,350.46

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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.