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Finding the Third Proportional to 175,079 and 274,358

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Solution

The third proportional to 175,079 and 274,358 is: 429,933.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,079 : 274,358 = 274,358 : x
  2. Step 2: Convert to fraction form
    175,079/274,358 = 274,358/x
  3. Step 3: Cross multiply
    175,079x = 274,358 × 274,358
  4. Step 4: Simplify right side
    175,079x = 75,272,312,164
  5. Step 5: Solve for x
    x = 75,272,312,164/175,079
  6. Step 6: Final answer
    x = 429,933.41

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.