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Finding the Third Proportional to 84,301.80 and 176,397.33

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Solution

The third proportional to 84,301.80 and 176,397.33 is: 369,102.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,301.80 : 176,397.33 = 176,397.33 : x
  2. Step 2: Convert to fraction form
    84,301.80/176,397.33 = 176,397.33/x
  3. Step 3: Cross multiply
    84,301.80x = 176,397.33 × 176,397.33
  4. Step 4: Simplify right side
    84,301.80x = 31,116,017,369.64
  5. Step 5: Solve for x
    x = 31,116,017,369.64/84,301.80
  6. Step 6: Final answer
    x = 369,102.62

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.