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Finding the Third Proportional to 230,379.75 and 360,618.47

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Solution

The third proportional to 230,379.75 and 360,618.47 is: 564,483.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,379.75 : 360,618.47 = 360,618.47 : x
  2. Step 2: Convert to fraction form
    230,379.75/360,618.47 = 360,618.47/x
  3. Step 3: Cross multiply
    230,379.75x = 360,618.47 × 360,618.47
  4. Step 4: Simplify right side
    230,379.75x = 130,045,680,003.60
  5. Step 5: Solve for x
    x = 130,045,680,003.60/230,379.75
  6. Step 6: Final answer
    x = 564,483.99

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Why These Related Problems?

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