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Finding the Third Proportional to 237,760 and 369,336

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Solution

The third proportional to 237,760 and 369,336 is: 573,725.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,760 : 369,336 = 369,336 : x
  2. Step 2: Convert to fraction form
    237,760/369,336 = 369,336/x
  3. Step 3: Cross multiply
    237,760x = 369,336 × 369,336
  4. Step 4: Simplify right side
    237,760x = 136,409,080,896
  5. Step 5: Solve for x
    x = 136,409,080,896/237,760
  6. Step 6: Final answer
    x = 573,725.95

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.