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Finding the Third Proportional to 253,095 and 356,010

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Solution

The third proportional to 253,095 and 356,010 is: 500,772.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,095 : 356,010 = 356,010 : x
  2. Step 2: Convert to fraction form
    253,095/356,010 = 356,010/x
  3. Step 3: Cross multiply
    253,095x = 356,010 × 356,010
  4. Step 4: Simplify right side
    253,095x = 126,743,120,100
  5. Step 5: Solve for x
    x = 126,743,120,100/253,095
  6. Step 6: Final answer
    x = 500,772.91

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.