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Finding the Third Proportional to 84,146.25 and 182,312.25

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Solution

The third proportional to 84,146.25 and 182,312.25 is: 394,999.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,146.25 : 182,312.25 = 182,312.25 : x
  2. Step 2: Convert to fraction form
    84,146.25/182,312.25 = 182,312.25/x
  3. Step 3: Cross multiply
    84,146.25x = 182,312.25 × 182,312.25
  4. Step 4: Simplify right side
    84,146.25x = 33,237,756,500.06
  5. Step 5: Solve for x
    x = 33,237,756,500.06/84,146.25
  6. Step 6: Final answer
    x = 394,999.85

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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.