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Finding the Third Proportional to 148,083 and 223,449

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Solution

The third proportional to 148,083 and 223,449 is: 337,172.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,083 : 223,449 = 223,449 : x
  2. Step 2: Convert to fraction form
    148,083/223,449 = 223,449/x
  3. Step 3: Cross multiply
    148,083x = 223,449 × 223,449
  4. Step 4: Simplify right side
    148,083x = 49,929,455,601
  5. Step 5: Solve for x
    x = 49,929,455,601/148,083
  6. Step 6: Final answer
    x = 337,172.10

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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.