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Finding the Third Proportional to 183,714 and 401,124

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Solution

The third proportional to 183,714 and 401,124 is: 875,820.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,714 : 401,124 = 401,124 : x
  2. Step 2: Convert to fraction form
    183,714/401,124 = 401,124/x
  3. Step 3: Cross multiply
    183,714x = 401,124 × 401,124
  4. Step 4: Simplify right side
    183,714x = 160,900,463,376
  5. Step 5: Solve for x
    x = 160,900,463,376/183,714
  6. Step 6: Final answer
    x = 875,820.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.