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Finding the Third Proportional to 131,447 and 205,932

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Solution

The third proportional to 131,447 and 205,932 is: 322,624.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,447 : 205,932 = 205,932 : x
  2. Step 2: Convert to fraction form
    131,447/205,932 = 205,932/x
  3. Step 3: Cross multiply
    131,447x = 205,932 × 205,932
  4. Step 4: Simplify right side
    131,447x = 42,407,988,624
  5. Step 5: Solve for x
    x = 42,407,988,624/131,447
  6. Step 6: Final answer
    x = 322,624.24

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.