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Finding the Third Proportional to 84,865.50 and 176,703

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Solution

The third proportional to 84,865.50 and 176,703 is: 367,922.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,865.50 : 176,703 = 176,703 : x
  2. Step 2: Convert to fraction form
    84,865.50/176,703 = 176,703/x
  3. Step 3: Cross multiply
    84,865.50x = 176,703 × 176,703
  4. Step 4: Simplify right side
    84,865.50x = 31,223,950,209
  5. Step 5: Solve for x
    x = 31,223,950,209/84,865.50
  6. Step 6: Final answer
    x = 367,922.77

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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.