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Finding the Third Proportional to 161,680 and 349,172

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Solution

The third proportional to 161,680 and 349,172 is: 754,088.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,680 : 349,172 = 349,172 : x
  2. Step 2: Convert to fraction form
    161,680/349,172 = 349,172/x
  3. Step 3: Cross multiply
    161,680x = 349,172 × 349,172
  4. Step 4: Simplify right side
    161,680x = 121,921,085,584
  5. Step 5: Solve for x
    x = 121,921,085,584/161,680
  6. Step 6: Final answer
    x = 754,088.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.