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Finding the Third Proportional to 143,931.94 and 304,471.41

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Solution

The third proportional to 143,931.94 and 304,471.41 is: 644,074.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,931.94 : 304,471.41 = 304,471.41 : x
  2. Step 2: Convert to fraction form
    143,931.94/304,471.41 = 304,471.41/x
  3. Step 3: Cross multiply
    143,931.94x = 304,471.41 × 304,471.41
  4. Step 4: Simplify right side
    143,931.94x = 92,702,837,223.85
  5. Step 5: Solve for x
    x = 92,702,837,223.85/143,931.94
  6. Step 6: Final answer
    x = 644,074.13

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.