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Finding the Third Proportional to 155,544 and 230,036

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Solution

The third proportional to 155,544 and 230,036 is: 340,203.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,544 : 230,036 = 230,036 : x
  2. Step 2: Convert to fraction form
    155,544/230,036 = 230,036/x
  3. Step 3: Cross multiply
    155,544x = 230,036 × 230,036
  4. Step 4: Simplify right side
    155,544x = 52,916,561,296
  5. Step 5: Solve for x
    x = 52,916,561,296/155,544
  6. Step 6: Final answer
    x = 340,203.17

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.