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Finding the Third Proportional to 119,778 and 179,670

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Solution

The third proportional to 119,778 and 179,670 is: 269,509.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,778 : 179,670 = 179,670 : x
  2. Step 2: Convert to fraction form
    119,778/179,670 = 179,670/x
  3. Step 3: Cross multiply
    119,778x = 179,670 × 179,670
  4. Step 4: Simplify right side
    119,778x = 32,281,308,900
  5. Step 5: Solve for x
    x = 32,281,308,900/119,778
  6. Step 6: Final answer
    x = 269,509.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.