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Finding the Third Proportional to 114,597 and 246,123

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Solution

The third proportional to 114,597 and 246,123 is: 528,604.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,597 : 246,123 = 246,123 : x
  2. Step 2: Convert to fraction form
    114,597/246,123 = 246,123/x
  3. Step 3: Cross multiply
    114,597x = 246,123 × 246,123
  4. Step 4: Simplify right side
    114,597x = 60,576,531,129
  5. Step 5: Solve for x
    x = 60,576,531,129/114,597
  6. Step 6: Final answer
    x = 528,604.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.