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Finding the Third Proportional to 184,973 and 399,082

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Solution

The third proportional to 184,973 and 399,082 is: 861,025.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,973 : 399,082 = 399,082 : x
  2. Step 2: Convert to fraction form
    184,973/399,082 = 399,082/x
  3. Step 3: Cross multiply
    184,973x = 399,082 × 399,082
  4. Step 4: Simplify right side
    184,973x = 159,266,442,724
  5. Step 5: Solve for x
    x = 159,266,442,724/184,973
  6. Step 6: Final answer
    x = 861,025.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.