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Finding the Third Proportional to 79,223 and 176,158

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Solution

The third proportional to 79,223 and 176,158 is: 391,699.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,223 : 176,158 = 176,158 : x
  2. Step 2: Convert to fraction form
    79,223/176,158 = 176,158/x
  3. Step 3: Cross multiply
    79,223x = 176,158 × 176,158
  4. Step 4: Simplify right side
    79,223x = 31,031,640,964
  5. Step 5: Solve for x
    x = 31,031,640,964/79,223
  6. Step 6: Final answer
    x = 391,699.90

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.