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Finding the Third Proportional to 147,189 and 233,449.50

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Solution

The third proportional to 147,189 and 233,449.50 is: 370,263.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,189 : 233,449.50 = 233,449.50 : x
  2. Step 2: Convert to fraction form
    147,189/233,449.50 = 233,449.50/x
  3. Step 3: Cross multiply
    147,189x = 233,449.50 × 233,449.50
  4. Step 4: Simplify right side
    147,189x = 54,498,669,050.25
  5. Step 5: Solve for x
    x = 54,498,669,050.25/147,189
  6. Step 6: Final answer
    x = 370,263.19

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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.