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Finding the Third Proportional to 148,759 and 229,699

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Solution

The third proportional to 148,759 and 229,699 is: 354,678.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,759 : 229,699 = 229,699 : x
  2. Step 2: Convert to fraction form
    148,759/229,699 = 229,699/x
  3. Step 3: Cross multiply
    148,759x = 229,699 × 229,699
  4. Step 4: Simplify right side
    148,759x = 52,761,630,601
  5. Step 5: Solve for x
    x = 52,761,630,601/148,759
  6. Step 6: Final answer
    x = 354,678.58

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.