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Finding the Third Proportional to 194,066 and 424,220

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Solution

The third proportional to 194,066 and 424,220 is: 927,326.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,066 : 424,220 = 424,220 : x
  2. Step 2: Convert to fraction form
    194,066/424,220 = 424,220/x
  3. Step 3: Cross multiply
    194,066x = 424,220 × 424,220
  4. Step 4: Simplify right side
    194,066x = 179,962,608,400
  5. Step 5: Solve for x
    x = 179,962,608,400/194,066
  6. Step 6: Final answer
    x = 927,326.83

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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.