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Finding the Third Proportional to 237,894 and 364,377

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Solution

The third proportional to 237,894 and 364,377 is: 558,108.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,894 : 364,377 = 364,377 : x
  2. Step 2: Convert to fraction form
    237,894/364,377 = 364,377/x
  3. Step 3: Cross multiply
    237,894x = 364,377 × 364,377
  4. Step 4: Simplify right side
    237,894x = 132,770,598,129
  5. Step 5: Solve for x
    x = 132,770,598,129/237,894
  6. Step 6: Final answer
    x = 558,108.23

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.