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Finding the Third Proportional to 148,033 and 219,498

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Solution

The third proportional to 148,033 and 219,498 is: 325,463.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,033 : 219,498 = 219,498 : x
  2. Step 2: Convert to fraction form
    148,033/219,498 = 219,498/x
  3. Step 3: Cross multiply
    148,033x = 219,498 × 219,498
  4. Step 4: Simplify right side
    148,033x = 48,179,372,004
  5. Step 5: Solve for x
    x = 48,179,372,004/148,033
  6. Step 6: Final answer
    x = 325,463.73

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.