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Finding the Third Proportional to 144,957 and 230,612

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Solution

The third proportional to 144,957 and 230,612 is: 366,880.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,957 : 230,612 = 230,612 : x
  2. Step 2: Convert to fraction form
    144,957/230,612 = 230,612/x
  3. Step 3: Cross multiply
    144,957x = 230,612 × 230,612
  4. Step 4: Simplify right side
    144,957x = 53,181,894,544
  5. Step 5: Solve for x
    x = 53,181,894,544/144,957
  6. Step 6: Final answer
    x = 366,880.49

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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.