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Finding the Third Proportional to 230,378.24 and 360,615.80

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Solution

The third proportional to 230,378.24 and 360,615.80 is: 564,479.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,378.24 : 360,615.80 = 360,615.80 : x
  2. Step 2: Convert to fraction form
    230,378.24/360,615.80 = 360,615.80/x
  3. Step 3: Cross multiply
    230,378.24x = 360,615.80 × 360,615.80
  4. Step 4: Simplify right side
    230,378.24x = 130,043,752,955.79
  5. Step 5: Solve for x
    x = 130,043,752,955.79/230,378.24
  6. Step 6: Final answer
    x = 564,479.33

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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.