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Finding the Third Proportional to 98,252 and 152,406

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Solution

The third proportional to 98,252 and 152,406 is: 236,408.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,252 : 152,406 = 152,406 : x
  2. Step 2: Convert to fraction form
    98,252/152,406 = 152,406/x
  3. Step 3: Cross multiply
    98,252x = 152,406 × 152,406
  4. Step 4: Simplify right side
    98,252x = 23,227,588,836
  5. Step 5: Solve for x
    x = 23,227,588,836/98,252
  6. Step 6: Final answer
    x = 236,408.31

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.