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Finding the Third Proportional to 144,503 and 230,132

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Solution

The third proportional to 144,503 and 230,132 is: 366,502.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,503 : 230,132 = 230,132 : x
  2. Step 2: Convert to fraction form
    144,503/230,132 = 230,132/x
  3. Step 3: Cross multiply
    144,503x = 230,132 × 230,132
  4. Step 4: Simplify right side
    144,503x = 52,960,737,424
  5. Step 5: Solve for x
    x = 52,960,737,424/144,503
  6. Step 6: Final answer
    x = 366,502.68

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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.