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Finding the Third Proportional to 199,769 and 429,182

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Solution

The third proportional to 199,769 and 429,182 is: 922,050.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,769 : 429,182 = 429,182 : x
  2. Step 2: Convert to fraction form
    199,769/429,182 = 429,182/x
  3. Step 3: Cross multiply
    199,769x = 429,182 × 429,182
  4. Step 4: Simplify right side
    199,769x = 184,197,189,124
  5. Step 5: Solve for x
    x = 184,197,189,124/199,769
  6. Step 6: Final answer
    x = 922,050.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.