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Finding the Third Proportional to 266,064 and 361,896

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Solution

The third proportional to 266,064 and 361,896 is: 492,245.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,064 : 361,896 = 361,896 : x
  2. Step 2: Convert to fraction form
    266,064/361,896 = 361,896/x
  3. Step 3: Cross multiply
    266,064x = 361,896 × 361,896
  4. Step 4: Simplify right side
    266,064x = 130,968,714,816
  5. Step 5: Solve for x
    x = 130,968,714,816/266,064
  6. Step 6: Final answer
    x = 492,245.15

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.