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Finding the Third Proportional to 237,190 and 379,364

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Solution

The third proportional to 237,190 and 379,364 is: 606,758.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,190 : 379,364 = 379,364 : x
  2. Step 2: Convert to fraction form
    237,190/379,364 = 379,364/x
  3. Step 3: Cross multiply
    237,190x = 379,364 × 379,364
  4. Step 4: Simplify right side
    237,190x = 143,917,044,496
  5. Step 5: Solve for x
    x = 143,917,044,496/237,190
  6. Step 6: Final answer
    x = 606,758.48

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.