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Finding the Third Proportional to 194,018.25 and 289,831.50

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Solution

The third proportional to 194,018.25 and 289,831.50 is: 432,960.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,018.25 : 289,831.50 = 289,831.50 : x
  2. Step 2: Convert to fraction form
    194,018.25/289,831.50 = 289,831.50/x
  3. Step 3: Cross multiply
    194,018.25x = 289,831.50 × 289,831.50
  4. Step 4: Simplify right side
    194,018.25x = 84,002,298,392.25
  5. Step 5: Solve for x
    x = 84,002,298,392.25/194,018.25
  6. Step 6: Final answer
    x = 432,960.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.