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Finding the Third Proportional to 172,242 and 244,966.50

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Solution

The third proportional to 172,242 and 244,966.50 is: 348,396.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,242 : 244,966.50 = 244,966.50 : x
  2. Step 2: Convert to fraction form
    172,242/244,966.50 = 244,966.50/x
  3. Step 3: Cross multiply
    172,242x = 244,966.50 × 244,966.50
  4. Step 4: Simplify right side
    172,242x = 60,008,586,122.25
  5. Step 5: Solve for x
    x = 60,008,586,122.25/172,242
  6. Step 6: Final answer
    x = 348,396.94

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.