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Finding the Third Proportional to 182,776 and 400,861

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Solution

The third proportional to 182,776 and 400,861 is: 879,161.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,776 : 400,861 = 400,861 : x
  2. Step 2: Convert to fraction form
    182,776/400,861 = 400,861/x
  3. Step 3: Cross multiply
    182,776x = 400,861 × 400,861
  4. Step 4: Simplify right side
    182,776x = 160,689,541,321
  5. Step 5: Solve for x
    x = 160,689,541,321/182,776
  6. Step 6: Final answer
    x = 879,161.06

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.