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Finding the Third Proportional to 230,378.75 and 360,616.50

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Solution

The third proportional to 230,378.75 and 360,616.50 is: 564,480.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,378.75 : 360,616.50 = 360,616.50 : x
  2. Step 2: Convert to fraction form
    230,378.75/360,616.50 = 360,616.50/x
  3. Step 3: Cross multiply
    230,378.75x = 360,616.50 × 360,616.50
  4. Step 4: Simplify right side
    230,378.75x = 130,044,260,072.25
  5. Step 5: Solve for x
    x = 130,044,260,072.25/230,378.75
  6. Step 6: Final answer
    x = 564,480.27

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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.