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Finding the Third Proportional to 70,250 and 152,406

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Solution

The third proportional to 70,250 and 152,406 is: 330,641.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,250 : 152,406 = 152,406 : x
  2. Step 2: Convert to fraction form
    70,250/152,406 = 152,406/x
  3. Step 3: Cross multiply
    70,250x = 152,406 × 152,406
  4. Step 4: Simplify right side
    70,250x = 23,227,588,836
  5. Step 5: Solve for x
    x = 23,227,588,836/70,250
  6. Step 6: Final answer
    x = 330,641.83

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.