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Finding the Third Proportional to 241,967.25 and 375,435

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Solution

The third proportional to 241,967.25 and 375,435 is: 582,522.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,967.25 : 375,435 = 375,435 : x
  2. Step 2: Convert to fraction form
    241,967.25/375,435 = 375,435/x
  3. Step 3: Cross multiply
    241,967.25x = 375,435 × 375,435
  4. Step 4: Simplify right side
    241,967.25x = 140,951,439,225
  5. Step 5: Solve for x
    x = 140,951,439,225/241,967.25
  6. Step 6: Final answer
    x = 582,522.80

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.