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Finding the Third Proportional to 159,437 and 236,077

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Solution

The third proportional to 159,437 and 236,077 is: 349,557.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,437 : 236,077 = 236,077 : x
  2. Step 2: Convert to fraction form
    159,437/236,077 = 236,077/x
  3. Step 3: Cross multiply
    159,437x = 236,077 × 236,077
  4. Step 4: Simplify right side
    159,437x = 55,732,349,929
  5. Step 5: Solve for x
    x = 55,732,349,929/159,437
  6. Step 6: Final answer
    x = 349,557.19

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.