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Finding the Third Proportional to 158,462 and 345,356

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Solution

The third proportional to 158,462 and 345,356 is: 752,677.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,462 : 345,356 = 345,356 : x
  2. Step 2: Convert to fraction form
    158,462/345,356 = 345,356/x
  3. Step 3: Cross multiply
    158,462x = 345,356 × 345,356
  4. Step 4: Simplify right side
    158,462x = 119,270,766,736
  5. Step 5: Solve for x
    x = 119,270,766,736/158,462
  6. Step 6: Final answer
    x = 752,677.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.