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Finding the Third Proportional to 144,516 and 230,143

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Solution

The third proportional to 144,516 and 230,143 is: 366,504.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,516 : 230,143 = 230,143 : x
  2. Step 2: Convert to fraction form
    144,516/230,143 = 230,143/x
  3. Step 3: Cross multiply
    144,516x = 230,143 × 230,143
  4. Step 4: Simplify right side
    144,516x = 52,965,800,449
  5. Step 5: Solve for x
    x = 52,965,800,449/144,516
  6. Step 6: Final answer
    x = 366,504.75

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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.