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Finding the Third Proportional to 84,825 and 176,627.25

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Solution

The third proportional to 84,825 and 176,627.25 is: 367,782.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,825 : 176,627.25 = 176,627.25 : x
  2. Step 2: Convert to fraction form
    84,825/176,627.25 = 176,627.25/x
  3. Step 3: Cross multiply
    84,825x = 176,627.25 × 176,627.25
  4. Step 4: Simplify right side
    84,825x = 31,197,185,442.56
  5. Step 5: Solve for x
    x = 31,197,185,442.56/84,825
  6. Step 6: Final answer
    x = 367,782.91

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.