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Finding the Third Proportional to 144,075.23 and 231,490.27

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Solution

The third proportional to 144,075.23 and 231,490.27 is: 371,942.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,075.23 : 231,490.27 = 231,490.27 : x
  2. Step 2: Convert to fraction form
    144,075.23/231,490.27 = 231,490.27/x
  3. Step 3: Cross multiply
    144,075.23x = 231,490.27 × 231,490.27
  4. Step 4: Simplify right side
    144,075.23x = 53,587,743,079.13
  5. Step 5: Solve for x
    x = 53,587,743,079.13/144,075.23
  6. Step 6: Final answer
    x = 371,942.78

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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.