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Finding the Third Proportional to 170,464.50 and 267,421.50

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Solution

The third proportional to 170,464.50 and 267,421.50 is: 419,525.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,464.50 : 267,421.50 = 267,421.50 : x
  2. Step 2: Convert to fraction form
    170,464.50/267,421.50 = 267,421.50/x
  3. Step 3: Cross multiply
    170,464.50x = 267,421.50 × 267,421.50
  4. Step 4: Simplify right side
    170,464.50x = 71,514,258,662.25
  5. Step 5: Solve for x
    x = 71,514,258,662.25/170,464.50
  6. Step 6: Final answer
    x = 419,525.82

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.