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Finding the Third Proportional to 267,818.75 and 415,032.25

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Solution

The third proportional to 267,818.75 and 415,032.25 is: 643,165.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,818.75 : 415,032.25 = 415,032.25 : x
  2. Step 2: Convert to fraction form
    267,818.75/415,032.25 = 415,032.25/x
  3. Step 3: Cross multiply
    267,818.75x = 415,032.25 × 415,032.25
  4. Step 4: Simplify right side
    267,818.75x = 172,251,768,540.06
  5. Step 5: Solve for x
    x = 172,251,768,540.06/267,818.75
  6. Step 6: Final answer
    x = 643,165.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.