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Finding the Third Proportional to 167,370 and 348,278

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Solution

The third proportional to 167,370 and 348,278 is: 724,727.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,370 : 348,278 = 348,278 : x
  2. Step 2: Convert to fraction form
    167,370/348,278 = 348,278/x
  3. Step 3: Cross multiply
    167,370x = 348,278 × 348,278
  4. Step 4: Simplify right side
    167,370x = 121,297,565,284
  5. Step 5: Solve for x
    x = 121,297,565,284/167,370
  6. Step 6: Final answer
    x = 724,727.04

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.