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Finding the Third Proportional to 114,314 and 237,252

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Solution

The third proportional to 114,314 and 237,252 is: 492,402.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,314 : 237,252 = 237,252 : x
  2. Step 2: Convert to fraction form
    114,314/237,252 = 237,252/x
  3. Step 3: Cross multiply
    114,314x = 237,252 × 237,252
  4. Step 4: Simplify right side
    114,314x = 56,288,511,504
  5. Step 5: Solve for x
    x = 56,288,511,504/114,314
  6. Step 6: Final answer
    x = 492,402.61

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.