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Finding the Third Proportional to 84,881.46 and 176,735.88

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Solution

The third proportional to 84,881.46 and 176,735.88 is: 367,990.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,881.46 : 176,735.88 = 176,735.88 : x
  2. Step 2: Convert to fraction form
    84,881.46/176,735.88 = 176,735.88/x
  3. Step 3: Cross multiply
    84,881.46x = 176,735.88 × 176,735.88
  4. Step 4: Simplify right side
    84,881.46x = 31,235,572,273.51
  5. Step 5: Solve for x
    x = 31,235,572,273.51/84,881.46
  6. Step 6: Final answer
    x = 367,990.51

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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.