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Finding the Third Proportional to 131,112 and 282,960

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Solution

The third proportional to 131,112 and 282,960 is: 610,671.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,112 : 282,960 = 282,960 : x
  2. Step 2: Convert to fraction form
    131,112/282,960 = 282,960/x
  3. Step 3: Cross multiply
    131,112x = 282,960 × 282,960
  4. Step 4: Simplify right side
    131,112x = 80,066,361,600
  5. Step 5: Solve for x
    x = 80,066,361,600/131,112
  6. Step 6: Final answer
    x = 610,671.50

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