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Finding the Third Proportional to 80,069.50 and 185,341

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Solution

The third proportional to 80,069.50 and 185,341 is: 429,018.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,069.50 : 185,341 = 185,341 : x
  2. Step 2: Convert to fraction form
    80,069.50/185,341 = 185,341/x
  3. Step 3: Cross multiply
    80,069.50x = 185,341 × 185,341
  4. Step 4: Simplify right side
    80,069.50x = 34,351,286,281
  5. Step 5: Solve for x
    x = 34,351,286,281/80,069.50
  6. Step 6: Final answer
    x = 429,018.37

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.