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Finding the Third Proportional to 152,262 and 326,965.50

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Solution

The third proportional to 152,262 and 326,965.50 is: 702,121.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,262 : 326,965.50 = 326,965.50 : x
  2. Step 2: Convert to fraction form
    152,262/326,965.50 = 326,965.50/x
  3. Step 3: Cross multiply
    152,262x = 326,965.50 × 326,965.50
  4. Step 4: Simplify right side
    152,262x = 106,906,438,190.25
  5. Step 5: Solve for x
    x = 106,906,438,190.25/152,262
  6. Step 6: Final answer
    x = 702,121.59

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.