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Finding the Third Proportional to 175,552 and 342,346

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Solution

The third proportional to 175,552 and 342,346 is: 667,612.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,552 : 342,346 = 342,346 : x
  2. Step 2: Convert to fraction form
    175,552/342,346 = 342,346/x
  3. Step 3: Cross multiply
    175,552x = 342,346 × 342,346
  4. Step 4: Simplify right side
    175,552x = 117,200,783,716
  5. Step 5: Solve for x
    x = 117,200,783,716/175,552
  6. Step 6: Final answer
    x = 667,612.92

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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.