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Finding the Third Proportional to 144,878 and 230,529

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Solution

The third proportional to 144,878 and 230,529 is: 366,816.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,878 : 230,529 = 230,529 : x
  2. Step 2: Convert to fraction form
    144,878/230,529 = 230,529/x
  3. Step 3: Cross multiply
    144,878x = 230,529 × 230,529
  4. Step 4: Simplify right side
    144,878x = 53,143,619,841
  5. Step 5: Solve for x
    x = 53,143,619,841/144,878
  6. Step 6: Final answer
    x = 366,816.35

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.