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Finding the Third Proportional to 185,040 and 360,864

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Solution

The third proportional to 185,040 and 360,864 is: 703,755.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,040 : 360,864 = 360,864 : x
  2. Step 2: Convert to fraction form
    185,040/360,864 = 360,864/x
  3. Step 3: Cross multiply
    185,040x = 360,864 × 360,864
  4. Step 4: Simplify right side
    185,040x = 130,222,826,496
  5. Step 5: Solve for x
    x = 130,222,826,496/185,040
  6. Step 6: Final answer
    x = 703,755.01

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.