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Finding the Third Proportional to 84,816 and 176,609.25

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Solution

The third proportional to 84,816 and 176,609.25 is: 367,746.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,816 : 176,609.25 = 176,609.25 : x
  2. Step 2: Convert to fraction form
    84,816/176,609.25 = 176,609.25/x
  3. Step 3: Cross multiply
    84,816x = 176,609.25 × 176,609.25
  4. Step 4: Simplify right side
    84,816x = 31,190,827,185.56
  5. Step 5: Solve for x
    x = 31,190,827,185.56/84,816
  6. Step 6: Final answer
    x = 367,746.97

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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.