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Finding the Third Proportional to 266,503.50 and 352,127.25

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Solution

The third proportional to 266,503.50 and 352,127.25 is: 465,260.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,503.50 : 352,127.25 = 352,127.25 : x
  2. Step 2: Convert to fraction form
    266,503.50/352,127.25 = 352,127.25/x
  3. Step 3: Cross multiply
    266,503.50x = 352,127.25 × 352,127.25
  4. Step 4: Simplify right side
    266,503.50x = 123,993,600,192.56
  5. Step 5: Solve for x
    x = 123,993,600,192.56/266,503.50
  6. Step 6: Final answer
    x = 465,260.68

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.