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Finding the Third Proportional to 185,822 and 274,358

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Solution

The third proportional to 185,822 and 274,358 is: 405,077.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,822 : 274,358 = 274,358 : x
  2. Step 2: Convert to fraction form
    185,822/274,358 = 274,358/x
  3. Step 3: Cross multiply
    185,822x = 274,358 × 274,358
  4. Step 4: Simplify right side
    185,822x = 75,272,312,164
  5. Step 5: Solve for x
    x = 75,272,312,164/185,822
  6. Step 6: Final answer
    x = 405,077.51

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.