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Finding the Third Proportional to 147,622.50 and 235,008

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Solution

The third proportional to 147,622.50 and 235,008 is: 374,121.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,622.50 : 235,008 = 235,008 : x
  2. Step 2: Convert to fraction form
    147,622.50/235,008 = 235,008/x
  3. Step 3: Cross multiply
    147,622.50x = 235,008 × 235,008
  4. Step 4: Simplify right side
    147,622.50x = 55,228,760,064
  5. Step 5: Solve for x
    x = 55,228,760,064/147,622.50
  6. Step 6: Final answer
    x = 374,121.56

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.