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Finding the Third Proportional to 185,041.13 and 276,819.19

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Solution

The third proportional to 185,041.13 and 276,819.19 is: 414,118.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,041.13 : 276,819.19 = 276,819.19 : x
  2. Step 2: Convert to fraction form
    185,041.13/276,819.19 = 276,819.19/x
  3. Step 3: Cross multiply
    185,041.13x = 276,819.19 × 276,819.19
  4. Step 4: Simplify right side
    185,041.13x = 76,628,862,568.16
  5. Step 5: Solve for x
    x = 76,628,862,568.16/185,041.13
  6. Step 6: Final answer
    x = 414,118.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.