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Finding the Third Proportional to 131,526 and 283,575

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Solution

The third proportional to 131,526 and 283,575 is: 611,398.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,526 : 283,575 = 283,575 : x
  2. Step 2: Convert to fraction form
    131,526/283,575 = 283,575/x
  3. Step 3: Cross multiply
    131,526x = 283,575 × 283,575
  4. Step 4: Simplify right side
    131,526x = 80,414,780,625
  5. Step 5: Solve for x
    x = 80,414,780,625/131,526
  6. Step 6: Final answer
    x = 611,398.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.