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Finding the Third Proportional to 114,610 and 243,983

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Solution

The third proportional to 114,610 and 243,983 is: 519,393.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,610 : 243,983 = 243,983 : x
  2. Step 2: Convert to fraction form
    114,610/243,983 = 243,983/x
  3. Step 3: Cross multiply
    114,610x = 243,983 × 243,983
  4. Step 4: Simplify right side
    114,610x = 59,527,704,289
  5. Step 5: Solve for x
    x = 59,527,704,289/114,610
  6. Step 6: Final answer
    x = 519,393.63

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.