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Finding the Third Proportional to 177,486.50 and 386,071

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Solution

The third proportional to 177,486.50 and 386,071 is: 839,786.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,486.50 : 386,071 = 386,071 : x
  2. Step 2: Convert to fraction form
    177,486.50/386,071 = 386,071/x
  3. Step 3: Cross multiply
    177,486.50x = 386,071 × 386,071
  4. Step 4: Simplify right side
    177,486.50x = 149,050,817,041
  5. Step 5: Solve for x
    x = 149,050,817,041/177,486.50
  6. Step 6: Final answer
    x = 839,786.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.