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Finding the Third Proportional to 214,650 and 330,075

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Solution

The third proportional to 214,650 and 330,075 is: 507,568.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,650 : 330,075 = 330,075 : x
  2. Step 2: Convert to fraction form
    214,650/330,075 = 330,075/x
  3. Step 3: Cross multiply
    214,650x = 330,075 × 330,075
  4. Step 4: Simplify right side
    214,650x = 108,949,505,625
  5. Step 5: Solve for x
    x = 108,949,505,625/214,650
  6. Step 6: Final answer
    x = 507,568.16

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.