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Finding the Third Proportional to 77,884 and 170,184

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Solution

The third proportional to 77,884 and 170,184 is: 371,868.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,884 : 170,184 = 170,184 : x
  2. Step 2: Convert to fraction form
    77,884/170,184 = 170,184/x
  3. Step 3: Cross multiply
    77,884x = 170,184 × 170,184
  4. Step 4: Simplify right side
    77,884x = 28,962,593,856
  5. Step 5: Solve for x
    x = 28,962,593,856/77,884
  6. Step 6: Final answer
    x = 371,868.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.