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Finding the Third Proportional to 230,379.50 and 360,617.75

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Solution

The third proportional to 230,379.50 and 360,617.75 is: 564,482.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,379.50 : 360,617.75 = 360,617.75 : x
  2. Step 2: Convert to fraction form
    230,379.50/360,617.75 = 360,617.75/x
  3. Step 3: Cross multiply
    230,379.50x = 360,617.75 × 360,617.75
  4. Step 4: Simplify right side
    230,379.50x = 130,045,161,615.06
  5. Step 5: Solve for x
    x = 130,045,161,615.06/230,379.50
  6. Step 6: Final answer
    x = 564,482.35

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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.