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Finding the Third Proportional to 84,998 and 184,900

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Solution

The third proportional to 84,998 and 184,900 is: 402,221.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,998 : 184,900 = 184,900 : x
  2. Step 2: Convert to fraction form
    84,998/184,900 = 184,900/x
  3. Step 3: Cross multiply
    84,998x = 184,900 × 184,900
  4. Step 4: Simplify right side
    84,998x = 34,188,010,000
  5. Step 5: Solve for x
    x = 34,188,010,000/84,998
  6. Step 6: Final answer
    x = 402,221.35

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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.