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Finding the Third Proportional to 240,057 and 350,217

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Solution

The third proportional to 240,057 and 350,217 is: 510,928.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,057 : 350,217 = 350,217 : x
  2. Step 2: Convert to fraction form
    240,057/350,217 = 350,217/x
  3. Step 3: Cross multiply
    240,057x = 350,217 × 350,217
  4. Step 4: Simplify right side
    240,057x = 122,651,947,089
  5. Step 5: Solve for x
    x = 122,651,947,089/240,057
  6. Step 6: Final answer
    x = 510,928.43

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.