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Finding the Third Proportional to 80,835 and 176,354

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Solution

The third proportional to 80,835 and 176,354 is: 384,743.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,835 : 176,354 = 176,354 : x
  2. Step 2: Convert to fraction form
    80,835/176,354 = 176,354/x
  3. Step 3: Cross multiply
    80,835x = 176,354 × 176,354
  4. Step 4: Simplify right side
    80,835x = 31,100,733,316
  5. Step 5: Solve for x
    x = 31,100,733,316/80,835
  6. Step 6: Final answer
    x = 384,743.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.