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Finding the Third Proportional to 172,944 and 220,981.50

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Solution

The third proportional to 172,944 and 220,981.50 is: 282,362.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,944 : 220,981.50 = 220,981.50 : x
  2. Step 2: Convert to fraction form
    172,944/220,981.50 = 220,981.50/x
  3. Step 3: Cross multiply
    172,944x = 220,981.50 × 220,981.50
  4. Step 4: Simplify right side
    172,944x = 48,832,823,342.25
  5. Step 5: Solve for x
    x = 48,832,823,342.25/172,944
  6. Step 6: Final answer
    x = 282,362.06

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.