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Finding the Third Proportional to 155,376 and 237,696

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Solution

The third proportional to 155,376 and 237,696 is: 363,630.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,376 : 237,696 = 237,696 : x
  2. Step 2: Convert to fraction form
    155,376/237,696 = 237,696/x
  3. Step 3: Cross multiply
    155,376x = 237,696 × 237,696
  4. Step 4: Simplify right side
    155,376x = 56,499,388,416
  5. Step 5: Solve for x
    x = 56,499,388,416/155,376
  6. Step 6: Final answer
    x = 363,630.09

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.