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Finding the Third Proportional to 176,919.19 and 386,643.38

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Solution

The third proportional to 176,919.19 and 386,643.38 is: 844,979.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,919.19 : 386,643.38 = 386,643.38 : x
  2. Step 2: Convert to fraction form
    176,919.19/386,643.38 = 386,643.38/x
  3. Step 3: Cross multiply
    176,919.19x = 386,643.38 × 386,643.38
  4. Step 4: Simplify right side
    176,919.19x = 149,493,099,431.39
  5. Step 5: Solve for x
    x = 149,493,099,431.39/176,919.19
  6. Step 6: Final answer
    x = 844,979.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.