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Finding the Third Proportional to 233,167.50 and 482,919.75

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Solution

The third proportional to 233,167.50 and 482,919.75 is: 1,000,188.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,167.50 : 482,919.75 = 482,919.75 : x
  2. Step 2: Convert to fraction form
    233,167.50/482,919.75 = 482,919.75/x
  3. Step 3: Cross multiply
    233,167.50x = 482,919.75 × 482,919.75
  4. Step 4: Simplify right side
    233,167.50x = 233,211,484,940.06
  5. Step 5: Solve for x
    x = 233,211,484,940.06/233,167.50
  6. Step 6: Final answer
    x = 1,000,188.64

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.