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Finding the Third Proportional to 194,555.75 and 426,017

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Solution

The third proportional to 194,555.75 and 426,017 is: 932,845.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,555.75 : 426,017 = 426,017 : x
  2. Step 2: Convert to fraction form
    194,555.75/426,017 = 426,017/x
  3. Step 3: Cross multiply
    194,555.75x = 426,017 × 426,017
  4. Step 4: Simplify right side
    194,555.75x = 181,490,484,289
  5. Step 5: Solve for x
    x = 181,490,484,289/194,555.75
  6. Step 6: Final answer
    x = 932,845.65

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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.