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Finding the Third Proportional to 176,574.09 and 383,249.18

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Solution

The third proportional to 176,574.09 and 383,249.18 is: 831,831.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,574.09 : 383,249.18 = 383,249.18 : x
  2. Step 2: Convert to fraction form
    176,574.09/383,249.18 = 383,249.18/x
  3. Step 3: Cross multiply
    176,574.09x = 383,249.18 × 383,249.18
  4. Step 4: Simplify right side
    176,574.09x = 146,879,933,731.14
  5. Step 5: Solve for x
    x = 146,879,933,731.14/176,574.09
  6. Step 6: Final answer
    x = 831,831.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.