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Finding the Third Proportional to 69,346 and 152,217

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Solution

The third proportional to 69,346 and 152,217 is: 334,121.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,346 : 152,217 = 152,217 : x
  2. Step 2: Convert to fraction form
    69,346/152,217 = 152,217/x
  3. Step 3: Cross multiply
    69,346x = 152,217 × 152,217
  4. Step 4: Simplify right side
    69,346x = 23,170,015,089
  5. Step 5: Solve for x
    x = 23,170,015,089/69,346
  6. Step 6: Final answer
    x = 334,121.87

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.