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Finding the Third Proportional to 155,864 and 227,964

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Solution

The third proportional to 155,864 and 227,964 is: 333,416.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,864 : 227,964 = 227,964 : x
  2. Step 2: Convert to fraction form
    155,864/227,964 = 227,964/x
  3. Step 3: Cross multiply
    155,864x = 227,964 × 227,964
  4. Step 4: Simplify right side
    155,864x = 51,967,585,296
  5. Step 5: Solve for x
    x = 51,967,585,296/155,864
  6. Step 6: Final answer
    x = 333,416.22

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.