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Finding the Third Proportional to 114,812 and 243,282

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Solution

The third proportional to 114,812 and 243,282 is: 515,504.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,812 : 243,282 = 243,282 : x
  2. Step 2: Convert to fraction form
    114,812/243,282 = 243,282/x
  3. Step 3: Cross multiply
    114,812x = 243,282 × 243,282
  4. Step 4: Simplify right side
    114,812x = 59,186,131,524
  5. Step 5: Solve for x
    x = 59,186,131,524/114,812
  6. Step 6: Final answer
    x = 515,504.75

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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.