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Finding the Third Proportional to 131,002 and 280,678.50

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Solution

The third proportional to 131,002 and 280,678.50 is: 601,368.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,002 : 280,678.50 = 280,678.50 : x
  2. Step 2: Convert to fraction form
    131,002/280,678.50 = 280,678.50/x
  3. Step 3: Cross multiply
    131,002x = 280,678.50 × 280,678.50
  4. Step 4: Simplify right side
    131,002x = 78,780,420,362.25
  5. Step 5: Solve for x
    x = 78,780,420,362.25/131,002
  6. Step 6: Final answer
    x = 601,368.07

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.