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Finding the Third Proportional to 148,098 and 223,455.75

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Solution

The third proportional to 148,098 and 223,455.75 is: 337,158.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,098 : 223,455.75 = 223,455.75 : x
  2. Step 2: Convert to fraction form
    148,098/223,455.75 = 223,455.75/x
  3. Step 3: Cross multiply
    148,098x = 223,455.75 × 223,455.75
  4. Step 4: Simplify right side
    148,098x = 49,932,472,208.06
  5. Step 5: Solve for x
    x = 49,932,472,208.06/148,098
  6. Step 6: Final answer
    x = 337,158.32

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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.