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Finding the Third Proportional to 153,696 and 230,544

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Solution

The third proportional to 153,696 and 230,544 is: 345,816

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,696 : 230,544 = 230,544 : x
  2. Step 2: Convert to fraction form
    153,696/230,544 = 230,544/x
  3. Step 3: Cross multiply
    153,696x = 230,544 × 230,544
  4. Step 4: Simplify right side
    153,696x = 53,150,535,936
  5. Step 5: Solve for x
    x = 53,150,535,936/153,696
  6. Step 6: Final answer
    x = 345,816

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.