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Finding the Third Proportional to 141,471 and 217,127.25

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Solution

The third proportional to 141,471 and 217,127.25 is: 333,243.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,471 : 217,127.25 = 217,127.25 : x
  2. Step 2: Convert to fraction form
    141,471/217,127.25 = 217,127.25/x
  3. Step 3: Cross multiply
    141,471x = 217,127.25 × 217,127.25
  4. Step 4: Simplify right side
    141,471x = 47,144,242,692.56
  5. Step 5: Solve for x
    x = 47,144,242,692.56/141,471
  6. Step 6: Final answer
    x = 333,243.16

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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.