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Finding the Third Proportional to 154,363 and 237,695

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Solution

The third proportional to 154,363 and 237,695 is: 366,013.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,363 : 237,695 = 237,695 : x
  2. Step 2: Convert to fraction form
    154,363/237,695 = 237,695/x
  3. Step 3: Cross multiply
    154,363x = 237,695 × 237,695
  4. Step 4: Simplify right side
    154,363x = 56,498,913,025
  5. Step 5: Solve for x
    x = 56,498,913,025/154,363
  6. Step 6: Final answer
    x = 366,013.31

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.