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Finding the Third Proportional to 131,040 and 280,777.50

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Solution

The third proportional to 131,040 and 280,777.50 is: 601,617.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,040 : 280,777.50 = 280,777.50 : x
  2. Step 2: Convert to fraction form
    131,040/280,777.50 = 280,777.50/x
  3. Step 3: Cross multiply
    131,040x = 280,777.50 × 280,777.50
  4. Step 4: Simplify right side
    131,040x = 78,836,004,506.25
  5. Step 5: Solve for x
    x = 78,836,004,506.25/131,040
  6. Step 6: Final answer
    x = 601,617.86

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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.