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Finding the Third Proportional to 176,199.75 and 343,530

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Solution

The third proportional to 176,199.75 and 343,530 is: 669,767.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,199.75 : 343,530 = 343,530 : x
  2. Step 2: Convert to fraction form
    176,199.75/343,530 = 343,530/x
  3. Step 3: Cross multiply
    176,199.75x = 343,530 × 343,530
  4. Step 4: Simplify right side
    176,199.75x = 118,012,860,900
  5. Step 5: Solve for x
    x = 118,012,860,900/176,199.75
  6. Step 6: Final answer
    x = 669,767.47

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.