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Finding the Third Proportional to 84,649.63 and 176,305.25

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Solution

The third proportional to 84,649.63 and 176,305.25 is: 367,202.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,649.63 : 176,305.25 = 176,305.25 : x
  2. Step 2: Convert to fraction form
    84,649.63/176,305.25 = 176,305.25/x
  3. Step 3: Cross multiply
    84,649.63x = 176,305.25 × 176,305.25
  4. Step 4: Simplify right side
    84,649.63x = 31,083,541,177.56
  5. Step 5: Solve for x
    x = 31,083,541,177.56/84,649.63
  6. Step 6: Final answer
    x = 367,202.35

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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.