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Finding the Third Proportional to 148,570 and 224,115

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Solution

The third proportional to 148,570 and 224,115 is: 338,073.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,570 : 224,115 = 224,115 : x
  2. Step 2: Convert to fraction form
    148,570/224,115 = 224,115/x
  3. Step 3: Cross multiply
    148,570x = 224,115 × 224,115
  4. Step 4: Simplify right side
    148,570x = 50,227,533,225
  5. Step 5: Solve for x
    x = 50,227,533,225/148,570
  6. Step 6: Final answer
    x = 338,073.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.