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Finding the Third Proportional to 84,837 and 184,428

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Solution

The third proportional to 84,837 and 184,428 is: 400,929.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,837 : 184,428 = 184,428 : x
  2. Step 2: Convert to fraction form
    84,837/184,428 = 184,428/x
  3. Step 3: Cross multiply
    84,837x = 184,428 × 184,428
  4. Step 4: Simplify right side
    84,837x = 34,013,687,184
  5. Step 5: Solve for x
    x = 34,013,687,184/84,837
  6. Step 6: Final answer
    x = 400,929.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.