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Finding the Third Proportional to 155,634 and 237,339

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Solution

The third proportional to 155,634 and 237,339 is: 361,937.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,634 : 237,339 = 237,339 : x
  2. Step 2: Convert to fraction form
    155,634/237,339 = 237,339/x
  3. Step 3: Cross multiply
    155,634x = 237,339 × 237,339
  4. Step 4: Simplify right side
    155,634x = 56,329,800,921
  5. Step 5: Solve for x
    x = 56,329,800,921/155,634
  6. Step 6: Final answer
    x = 361,937.63

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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.