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Finding the Third Proportional to 218,150 and 456,064

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Solution

The third proportional to 218,150 and 456,064 is: 953,446.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,150 : 456,064 = 456,064 : x
  2. Step 2: Convert to fraction form
    218,150/456,064 = 456,064/x
  3. Step 3: Cross multiply
    218,150x = 456,064 × 456,064
  4. Step 4: Simplify right side
    218,150x = 207,994,372,096
  5. Step 5: Solve for x
    x = 207,994,372,096/218,150
  6. Step 6: Final answer
    x = 953,446.58

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.