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Finding the Third Proportional to 203,574.75 and 334,421.25

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Solution

The third proportional to 203,574.75 and 334,421.25 is: 549,368.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,574.75 : 334,421.25 = 334,421.25 : x
  2. Step 2: Convert to fraction form
    203,574.75/334,421.25 = 334,421.25/x
  3. Step 3: Cross multiply
    203,574.75x = 334,421.25 × 334,421.25
  4. Step 4: Simplify right side
    203,574.75x = 111,837,572,451.56
  5. Step 5: Solve for x
    x = 111,837,572,451.56/203,574.75
  6. Step 6: Final answer
    x = 549,368.59

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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.