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Finding the Third Proportional to 224,515.13 and 348,612.19

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Solution

The third proportional to 224,515.13 and 348,612.19 is: 541,301.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,515.13 : 348,612.19 = 348,612.19 : x
  2. Step 2: Convert to fraction form
    224,515.13/348,612.19 = 348,612.19/x
  3. Step 3: Cross multiply
    224,515.13x = 348,612.19 × 348,612.19
  4. Step 4: Simplify right side
    224,515.13x = 121,530,457,273.54
  5. Step 5: Solve for x
    x = 121,530,457,273.54/224,515.13
  6. Step 6: Final answer
    x = 541,301.87

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