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Finding the Third Proportional to 159,837 and 344,577

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Solution

The third proportional to 159,837 and 344,577 is: 742,839.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,837 : 344,577 = 344,577 : x
  2. Step 2: Convert to fraction form
    159,837/344,577 = 344,577/x
  3. Step 3: Cross multiply
    159,837x = 344,577 × 344,577
  4. Step 4: Simplify right side
    159,837x = 118,733,308,929
  5. Step 5: Solve for x
    x = 118,733,308,929/159,837
  6. Step 6: Final answer
    x = 742,839.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.