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Finding the Third Proportional to 194,401.69 and 426,169.69

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Solution

The third proportional to 194,401.69 and 426,169.69 is: 934,254.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,401.69 : 426,169.69 = 426,169.69 : x
  2. Step 2: Convert to fraction form
    194,401.69/426,169.69 = 426,169.69/x
  3. Step 3: Cross multiply
    194,401.69x = 426,169.69 × 426,169.69
  4. Step 4: Simplify right side
    194,401.69x = 181,620,602,543.85
  5. Step 5: Solve for x
    x = 181,620,602,543.85/194,401.69
  6. Step 6: Final answer
    x = 934,254.25

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