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Finding the Third Proportional to 203,482.13 and 334,018.69

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Solution

The third proportional to 203,482.13 and 334,018.69 is: 548,296.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,482.13 : 334,018.69 = 334,018.69 : x
  2. Step 2: Convert to fraction form
    203,482.13/334,018.69 = 334,018.69/x
  3. Step 3: Cross multiply
    203,482.13x = 334,018.69 × 334,018.69
  4. Step 4: Simplify right side
    203,482.13x = 111,568,483,599.22
  5. Step 5: Solve for x
    x = 111,568,483,599.22/203,482.13
  6. Step 6: Final answer
    x = 548,296.24

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.