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Finding the Third Proportional to 131,895.84 and 311,043.80

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Solution

The third proportional to 131,895.84 and 311,043.80 is: 733,520.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,895.84 : 311,043.80 = 311,043.80 : x
  2. Step 2: Convert to fraction form
    131,895.84/311,043.80 = 311,043.80/x
  3. Step 3: Cross multiply
    131,895.84x = 311,043.80 × 311,043.80
  4. Step 4: Simplify right side
    131,895.84x = 96,748,243,574.42
  5. Step 5: Solve for x
    x = 96,748,243,574.42/131,895.84
  6. Step 6: Final answer
    x = 733,520.03

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.