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Finding the Third Proportional to 77,769 and 166,594.50

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Solution

The third proportional to 77,769 and 166,594.50 is: 356,873.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,769 : 166,594.50 = 166,594.50 : x
  2. Step 2: Convert to fraction form
    77,769/166,594.50 = 166,594.50/x
  3. Step 3: Cross multiply
    77,769x = 166,594.50 × 166,594.50
  4. Step 4: Simplify right side
    77,769x = 27,753,727,430.25
  5. Step 5: Solve for x
    x = 27,753,727,430.25/77,769
  6. Step 6: Final answer
    x = 356,873.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.