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Finding the Third Proportional to 175,550 and 342,342

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Solution

The third proportional to 175,550 and 342,342 is: 667,604.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,550 : 342,342 = 342,342 : x
  2. Step 2: Convert to fraction form
    175,550/342,342 = 342,342/x
  3. Step 3: Cross multiply
    175,550x = 342,342 × 342,342
  4. Step 4: Simplify right side
    175,550x = 117,198,044,964
  5. Step 5: Solve for x
    x = 117,198,044,964/175,550
  6. Step 6: Final answer
    x = 667,604.93

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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.