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Finding the Third Proportional to 169,515 and 262,642.50

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Solution

The third proportional to 169,515 and 262,642.50 is: 406,932.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,515 : 262,642.50 = 262,642.50 : x
  2. Step 2: Convert to fraction form
    169,515/262,642.50 = 262,642.50/x
  3. Step 3: Cross multiply
    169,515x = 262,642.50 × 262,642.50
  4. Step 4: Simplify right side
    169,515x = 68,981,082,806.25
  5. Step 5: Solve for x
    x = 68,981,082,806.25/169,515
  6. Step 6: Final answer
    x = 406,932.03

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