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Finding the Third Proportional to 158,468 and 351,928

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Solution

The third proportional to 158,468 and 351,928 is: 781,566.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,468 : 351,928 = 351,928 : x
  2. Step 2: Convert to fraction form
    158,468/351,928 = 351,928/x
  3. Step 3: Cross multiply
    158,468x = 351,928 × 351,928
  4. Step 4: Simplify right side
    158,468x = 123,853,317,184
  5. Step 5: Solve for x
    x = 123,853,317,184/158,468
  6. Step 6: Final answer
    x = 781,566.73

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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.