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Finding the Third Proportional to 144,095 and 231,519

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Solution

The third proportional to 144,095 and 231,519 is: 371,984.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,095 : 231,519 = 231,519 : x
  2. Step 2: Convert to fraction form
    144,095/231,519 = 231,519/x
  3. Step 3: Cross multiply
    144,095x = 231,519 × 231,519
  4. Step 4: Simplify right side
    144,095x = 53,601,047,361
  5. Step 5: Solve for x
    x = 53,601,047,361/144,095
  6. Step 6: Final answer
    x = 371,984.09

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.