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Finding the Third Proportional to 131,733 and 283,473

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Solution

The third proportional to 131,733 and 283,473 is: 609,998.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,733 : 283,473 = 283,473 : x
  2. Step 2: Convert to fraction form
    131,733/283,473 = 283,473/x
  3. Step 3: Cross multiply
    131,733x = 283,473 × 283,473
  4. Step 4: Simplify right side
    131,733x = 80,356,941,729
  5. Step 5: Solve for x
    x = 80,356,941,729/131,733
  6. Step 6: Final answer
    x = 609,998.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.