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Finding the Third Proportional to 161,869.50 and 239,663.50

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Solution

The third proportional to 161,869.50 and 239,663.50 is: 354,845.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,869.50 : 239,663.50 = 239,663.50 : x
  2. Step 2: Convert to fraction form
    161,869.50/239,663.50 = 239,663.50/x
  3. Step 3: Cross multiply
    161,869.50x = 239,663.50 × 239,663.50
  4. Step 4: Simplify right side
    161,869.50x = 57,438,593,232.25
  5. Step 5: Solve for x
    x = 57,438,593,232.25/161,869.50
  6. Step 6: Final answer
    x = 354,845.06

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.