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Finding the Third Proportional to 131,830 and 311,066

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Solution

The third proportional to 131,830 and 311,066 is: 733,991.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,830 : 311,066 = 311,066 : x
  2. Step 2: Convert to fraction form
    131,830/311,066 = 311,066/x
  3. Step 3: Cross multiply
    131,830x = 311,066 × 311,066
  4. Step 4: Simplify right side
    131,830x = 96,762,056,356
  5. Step 5: Solve for x
    x = 96,762,056,356/131,830
  6. Step 6: Final answer
    x = 733,991.17

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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.