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Finding the Third Proportional to 158,544 and 352,080

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Solution

The third proportional to 158,544 and 352,080 is: 781,867.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,544 : 352,080 = 352,080 : x
  2. Step 2: Convert to fraction form
    158,544/352,080 = 352,080/x
  3. Step 3: Cross multiply
    158,544x = 352,080 × 352,080
  4. Step 4: Simplify right side
    158,544x = 123,960,326,400
  5. Step 5: Solve for x
    x = 123,960,326,400/158,544
  6. Step 6: Final answer
    x = 781,867.03

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.