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Finding the Third Proportional to 199,221 and 296,010

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Solution

The third proportional to 199,221 and 296,010 is: 439,822.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,221 : 296,010 = 296,010 : x
  2. Step 2: Convert to fraction form
    199,221/296,010 = 296,010/x
  3. Step 3: Cross multiply
    199,221x = 296,010 × 296,010
  4. Step 4: Simplify right side
    199,221x = 87,621,920,100
  5. Step 5: Solve for x
    x = 87,621,920,100/199,221
  6. Step 6: Final answer
    x = 439,822.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.