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Finding the Third Proportional to 114,350 and 173,703

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Solution

The third proportional to 114,350 and 173,703 is: 263,862.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,350 : 173,703 = 173,703 : x
  2. Step 2: Convert to fraction form
    114,350/173,703 = 173,703/x
  3. Step 3: Cross multiply
    114,350x = 173,703 × 173,703
  4. Step 4: Simplify right side
    114,350x = 30,172,732,209
  5. Step 5: Solve for x
    x = 30,172,732,209/114,350
  6. Step 6: Final answer
    x = 263,862.98

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.