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Finding the Third Proportional to 158,222.25 and 322,320

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Solution

The third proportional to 158,222.25 and 322,320 is: 656,609.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,222.25 : 322,320 = 322,320 : x
  2. Step 2: Convert to fraction form
    158,222.25/322,320 = 322,320/x
  3. Step 3: Cross multiply
    158,222.25x = 322,320 × 322,320
  4. Step 4: Simplify right side
    158,222.25x = 103,890,182,400
  5. Step 5: Solve for x
    x = 103,890,182,400/158,222.25
  6. Step 6: Final answer
    x = 656,609.18

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.