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Finding the Third Proportional to 207,265.50 and 320,058

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Solution

The third proportional to 207,265.50 and 320,058 is: 494,231.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,265.50 : 320,058 = 320,058 : x
  2. Step 2: Convert to fraction form
    207,265.50/320,058 = 320,058/x
  3. Step 3: Cross multiply
    207,265.50x = 320,058 × 320,058
  4. Step 4: Simplify right side
    207,265.50x = 102,437,123,364
  5. Step 5: Solve for x
    x = 102,437,123,364/207,265.50
  6. Step 6: Final answer
    x = 494,231.42

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.