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Finding the Third Proportional to 131,820 and 311,047

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Solution

The third proportional to 131,820 and 311,047 is: 733,957.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,820 : 311,047 = 311,047 : x
  2. Step 2: Convert to fraction form
    131,820/311,047 = 311,047/x
  3. Step 3: Cross multiply
    131,820x = 311,047 × 311,047
  4. Step 4: Simplify right side
    131,820x = 96,750,236,209
  5. Step 5: Solve for x
    x = 96,750,236,209/131,820
  6. Step 6: Final answer
    x = 733,957.19

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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.