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Finding the Third Proportional to 144,872 and 230,519

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Solution

The third proportional to 144,872 and 230,519 is: 366,799.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,872 : 230,519 = 230,519 : x
  2. Step 2: Convert to fraction form
    144,872/230,519 = 230,519/x
  3. Step 3: Cross multiply
    144,872x = 230,519 × 230,519
  4. Step 4: Simplify right side
    144,872x = 53,139,009,361
  5. Step 5: Solve for x
    x = 53,139,009,361/144,872
  6. Step 6: Final answer
    x = 366,799.72

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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.