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Finding the Third Proportional to 158,049.50 and 247,664

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Solution

The third proportional to 158,049.50 and 247,664 is: 388,090.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,049.50 : 247,664 = 247,664 : x
  2. Step 2: Convert to fraction form
    158,049.50/247,664 = 247,664/x
  3. Step 3: Cross multiply
    158,049.50x = 247,664 × 247,664
  4. Step 4: Simplify right side
    158,049.50x = 61,337,456,896
  5. Step 5: Solve for x
    x = 61,337,456,896/158,049.50
  6. Step 6: Final answer
    x = 388,090.17

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.