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Finding the Third Proportional to 176,197 and 343,525

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Solution

The third proportional to 176,197 and 343,525 is: 669,758.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,197 : 343,525 = 343,525 : x
  2. Step 2: Convert to fraction form
    176,197/343,525 = 343,525/x
  3. Step 3: Cross multiply
    176,197x = 343,525 × 343,525
  4. Step 4: Simplify right side
    176,197x = 118,009,425,625
  5. Step 5: Solve for x
    x = 118,009,425,625/176,197
  6. Step 6: Final answer
    x = 669,758.43

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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.