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Finding the Third Proportional to 160,208 and 341,122

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Solution

The third proportional to 160,208 and 341,122 is: 726,332.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,208 : 341,122 = 341,122 : x
  2. Step 2: Convert to fraction form
    160,208/341,122 = 341,122/x
  3. Step 3: Cross multiply
    160,208x = 341,122 × 341,122
  4. Step 4: Simplify right side
    160,208x = 116,364,218,884
  5. Step 5: Solve for x
    x = 116,364,218,884/160,208
  6. Step 6: Final answer
    x = 726,332.14

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.