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Finding the Third Proportional to 131,115 and 280,924.50

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Solution

The third proportional to 131,115 and 280,924.50 is: 601,903.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,115 : 280,924.50 = 280,924.50 : x
  2. Step 2: Convert to fraction form
    131,115/280,924.50 = 280,924.50/x
  3. Step 3: Cross multiply
    131,115x = 280,924.50 × 280,924.50
  4. Step 4: Simplify right side
    131,115x = 78,918,574,700.25
  5. Step 5: Solve for x
    x = 78,918,574,700.25/131,115
  6. Step 6: Final answer
    x = 601,903.48

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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.