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Finding the Third Proportional to 84,802.50 and 184,995

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Solution

The third proportional to 84,802.50 and 184,995 is: 403,562.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,802.50 : 184,995 = 184,995 : x
  2. Step 2: Convert to fraction form
    84,802.50/184,995 = 184,995/x
  3. Step 3: Cross multiply
    84,802.50x = 184,995 × 184,995
  4. Step 4: Simplify right side
    84,802.50x = 34,223,150,025
  5. Step 5: Solve for x
    x = 34,223,150,025/84,802.50
  6. Step 6: Final answer
    x = 403,562.98

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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.