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Finding the Third Proportional to 182,782 and 400,877

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Solution

The third proportional to 182,782 and 400,877 is: 879,202.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,782 : 400,877 = 400,877 : x
  2. Step 2: Convert to fraction form
    182,782/400,877 = 400,877/x
  3. Step 3: Cross multiply
    182,782x = 400,877 × 400,877
  4. Step 4: Simplify right side
    182,782x = 160,702,369,129
  5. Step 5: Solve for x
    x = 160,702,369,129/182,782
  6. Step 6: Final answer
    x = 879,202.38

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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.