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Finding the Third Proportional to 148,284 and 231,552

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Solution

The third proportional to 148,284 and 231,552 is: 361,578.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,284 : 231,552 = 231,552 : x
  2. Step 2: Convert to fraction form
    148,284/231,552 = 231,552/x
  3. Step 3: Cross multiply
    148,284x = 231,552 × 231,552
  4. Step 4: Simplify right side
    148,284x = 53,616,328,704
  5. Step 5: Solve for x
    x = 53,616,328,704/148,284
  6. Step 6: Final answer
    x = 361,578.65

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.