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Finding the Third Proportional to 199,350 and 296,169

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Solution

The third proportional to 199,350 and 296,169 is: 440,010.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,350 : 296,169 = 296,169 : x
  2. Step 2: Convert to fraction form
    199,350/296,169 = 296,169/x
  3. Step 3: Cross multiply
    199,350x = 296,169 × 296,169
  4. Step 4: Simplify right side
    199,350x = 87,716,076,561
  5. Step 5: Solve for x
    x = 87,716,076,561/199,350
  6. Step 6: Final answer
    x = 440,010.42

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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.