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Finding the Third Proportional to 242,733 and 376,879

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Solution

The third proportional to 242,733 and 376,879 is: 585,160.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,733 : 376,879 = 376,879 : x
  2. Step 2: Convert to fraction form
    242,733/376,879 = 376,879/x
  3. Step 3: Cross multiply
    242,733x = 376,879 × 376,879
  4. Step 4: Simplify right side
    242,733x = 142,037,780,641
  5. Step 5: Solve for x
    x = 142,037,780,641/242,733
  6. Step 6: Final answer
    x = 585,160.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.