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Finding the Third Proportional to 182,900 and 399,316

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Solution

The third proportional to 182,900 and 399,316 is: 871,805.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,900 : 399,316 = 399,316 : x
  2. Step 2: Convert to fraction form
    182,900/399,316 = 399,316/x
  3. Step 3: Cross multiply
    182,900x = 399,316 × 399,316
  4. Step 4: Simplify right side
    182,900x = 159,453,267,856
  5. Step 5: Solve for x
    x = 159,453,267,856/182,900
  6. Step 6: Final answer
    x = 871,805.73

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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.