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Finding the Third Proportional to 250,752 and 366,519

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Solution

The third proportional to 250,752 and 366,519 is: 535,733.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,752 : 366,519 = 366,519 : x
  2. Step 2: Convert to fraction form
    250,752/366,519 = 366,519/x
  3. Step 3: Cross multiply
    250,752x = 366,519 × 366,519
  4. Step 4: Simplify right side
    250,752x = 134,336,177,361
  5. Step 5: Solve for x
    x = 134,336,177,361/250,752
  6. Step 6: Final answer
    x = 535,733.22

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.