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Finding the Third Proportional to 177,658 and 375,278

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Solution

The third proportional to 177,658 and 375,278 is: 792,722.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,658 : 375,278 = 375,278 : x
  2. Step 2: Convert to fraction form
    177,658/375,278 = 375,278/x
  3. Step 3: Cross multiply
    177,658x = 375,278 × 375,278
  4. Step 4: Simplify right side
    177,658x = 140,833,577,284
  5. Step 5: Solve for x
    x = 140,833,577,284/177,658
  6. Step 6: Final answer
    x = 792,722.97

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.