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Finding the Third Proportional to 161,510 and 377,229.50

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Solution

The third proportional to 161,510 and 377,229.50 is: 881,072.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,510 : 377,229.50 = 377,229.50 : x
  2. Step 2: Convert to fraction form
    161,510/377,229.50 = 377,229.50/x
  3. Step 3: Cross multiply
    161,510x = 377,229.50 × 377,229.50
  4. Step 4: Simplify right side
    161,510x = 142,302,095,670.25
  5. Step 5: Solve for x
    x = 142,302,095,670.25/161,510
  6. Step 6: Final answer
    x = 881,072.97

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.