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Finding the Third Proportional to 131,558 and 285,292

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Solution

The third proportional to 131,558 and 285,292 is: 618,674.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,558 : 285,292 = 285,292 : x
  2. Step 2: Convert to fraction form
    131,558/285,292 = 285,292/x
  3. Step 3: Cross multiply
    131,558x = 285,292 × 285,292
  4. Step 4: Simplify right side
    131,558x = 81,391,525,264
  5. Step 5: Solve for x
    x = 81,391,525,264/131,558
  6. Step 6: Final answer
    x = 618,674.08

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.