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Finding the Third Proportional to 202,466.25 and 429,846.75

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Solution

The third proportional to 202,466.25 and 429,846.75 is: 912,587.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,466.25 : 429,846.75 = 429,846.75 : x
  2. Step 2: Convert to fraction form
    202,466.25/429,846.75 = 429,846.75/x
  3. Step 3: Cross multiply
    202,466.25x = 429,846.75 × 429,846.75
  4. Step 4: Simplify right side
    202,466.25x = 184,768,228,485.56
  5. Step 5: Solve for x
    x = 184,768,228,485.56/202,466.25
  6. Step 6: Final answer
    x = 912,587.79

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.