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Finding the Third Proportional to 160,788 and 349,244

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Solution

The third proportional to 160,788 and 349,244 is: 758,585.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,788 : 349,244 = 349,244 : x
  2. Step 2: Convert to fraction form
    160,788/349,244 = 349,244/x
  3. Step 3: Cross multiply
    160,788x = 349,244 × 349,244
  4. Step 4: Simplify right side
    160,788x = 121,971,371,536
  5. Step 5: Solve for x
    x = 121,971,371,536/160,788
  6. Step 6: Final answer
    x = 758,585.04

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.