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Finding the Third Proportional to 202,169 and 299,314

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Solution

The third proportional to 202,169 and 299,314 is: 443,138.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,169 : 299,314 = 299,314 : x
  2. Step 2: Convert to fraction form
    202,169/299,314 = 299,314/x
  3. Step 3: Cross multiply
    202,169x = 299,314 × 299,314
  4. Step 4: Simplify right side
    202,169x = 89,588,870,596
  5. Step 5: Solve for x
    x = 89,588,870,596/202,169
  6. Step 6: Final answer
    x = 443,138.52

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.