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Finding the Third Proportional to 237,436 and 369,770

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Solution

The third proportional to 237,436 and 369,770 is: 575,859.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,436 : 369,770 = 369,770 : x
  2. Step 2: Convert to fraction form
    237,436/369,770 = 369,770/x
  3. Step 3: Cross multiply
    237,436x = 369,770 × 369,770
  4. Step 4: Simplify right side
    237,436x = 136,729,852,900
  5. Step 5: Solve for x
    x = 136,729,852,900/237,436
  6. Step 6: Final answer
    x = 575,859.82

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.