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Finding the Third Proportional to 194,700.80 and 422,616.66

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Solution

The third proportional to 194,700.80 and 422,616.66 is: 917,329.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,700.80 : 422,616.66 = 422,616.66 : x
  2. Step 2: Convert to fraction form
    194,700.80/422,616.66 = 422,616.66/x
  3. Step 3: Cross multiply
    194,700.80x = 422,616.66 × 422,616.66
  4. Step 4: Simplify right side
    194,700.80x = 178,604,838,139.93
  5. Step 5: Solve for x
    x = 178,604,838,139.93/194,700.80
  6. Step 6: Final answer
    x = 917,329.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.