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Finding the Third Proportional to 148,682 and 325,012

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Solution

The third proportional to 148,682 and 325,012 is: 710,461.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,682 : 325,012 = 325,012 : x
  2. Step 2: Convert to fraction form
    148,682/325,012 = 325,012/x
  3. Step 3: Cross multiply
    148,682x = 325,012 × 325,012
  4. Step 4: Simplify right side
    148,682x = 105,632,800,144
  5. Step 5: Solve for x
    x = 105,632,800,144/148,682
  6. Step 6: Final answer
    x = 710,461.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.