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Finding the Third Proportional to 179,049.50 and 386,119

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Solution

The third proportional to 179,049.50 and 386,119 is: 832,662.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,049.50 : 386,119 = 386,119 : x
  2. Step 2: Convert to fraction form
    179,049.50/386,119 = 386,119/x
  3. Step 3: Cross multiply
    179,049.50x = 386,119 × 386,119
  4. Step 4: Simplify right side
    179,049.50x = 149,087,882,161
  5. Step 5: Solve for x
    x = 149,087,882,161/179,049.50
  6. Step 6: Final answer
    x = 832,662.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.