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Finding the Third Proportional to 141,839 and 216,525

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Solution

The third proportional to 141,839 and 216,525 is: 330,537.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,839 : 216,525 = 216,525 : x
  2. Step 2: Convert to fraction form
    141,839/216,525 = 216,525/x
  3. Step 3: Cross multiply
    141,839x = 216,525 × 216,525
  4. Step 4: Simplify right side
    141,839x = 46,883,075,625
  5. Step 5: Solve for x
    x = 46,883,075,625/141,839
  6. Step 6: Final answer
    x = 330,537.27

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.