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Finding the Third Proportional to 84,300.75 and 176,392.69

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Solution

The third proportional to 84,300.75 and 176,392.69 is: 369,087.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,300.75 : 176,392.69 = 176,392.69 : x
  2. Step 2: Convert to fraction form
    84,300.75/176,392.69 = 176,392.69/x
  3. Step 3: Cross multiply
    84,300.75x = 176,392.69 × 176,392.69
  4. Step 4: Simplify right side
    84,300.75x = 31,114,380,203.47
  5. Step 5: Solve for x
    x = 31,114,380,203.47/84,300.75
  6. Step 6: Final answer
    x = 369,087.82

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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.