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Finding the Third Proportional to 152,668.50 and 325,626

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Solution

The third proportional to 152,668.50 and 325,626 is: 694,526.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,668.50 : 325,626 = 325,626 : x
  2. Step 2: Convert to fraction form
    152,668.50/325,626 = 325,626/x
  3. Step 3: Cross multiply
    152,668.50x = 325,626 × 325,626
  4. Step 4: Simplify right side
    152,668.50x = 106,032,291,876
  5. Step 5: Solve for x
    x = 106,032,291,876/152,668.50
  6. Step 6: Final answer
    x = 694,526.32

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.