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Finding the Third Proportional to 70,698 and 152,232

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Solution

The third proportional to 70,698 and 152,232 is: 327,796.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,698 : 152,232 = 152,232 : x
  2. Step 2: Convert to fraction form
    70,698/152,232 = 152,232/x
  3. Step 3: Cross multiply
    70,698x = 152,232 × 152,232
  4. Step 4: Simplify right side
    70,698x = 23,174,581,824
  5. Step 5: Solve for x
    x = 23,174,581,824/70,698
  6. Step 6: Final answer
    x = 327,796.85

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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.