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Finding the Third Proportional to 153,990 and 230,357.25

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Solution

The third proportional to 153,990 and 230,357.25 is: 344,596.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,990 : 230,357.25 = 230,357.25 : x
  2. Step 2: Convert to fraction form
    153,990/230,357.25 = 230,357.25/x
  3. Step 3: Cross multiply
    153,990x = 230,357.25 × 230,357.25
  4. Step 4: Simplify right side
    153,990x = 53,064,462,627.56
  5. Step 5: Solve for x
    x = 53,064,462,627.56/153,990
  6. Step 6: Final answer
    x = 344,596.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.