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Finding the Third Proportional to 196,720.50 and 421,489.50

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Solution

The third proportional to 196,720.50 and 421,489.50 is: 903,075.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,720.50 : 421,489.50 = 421,489.50 : x
  2. Step 2: Convert to fraction form
    196,720.50/421,489.50 = 421,489.50/x
  3. Step 3: Cross multiply
    196,720.50x = 421,489.50 × 421,489.50
  4. Step 4: Simplify right side
    196,720.50x = 177,653,398,610.25
  5. Step 5: Solve for x
    x = 177,653,398,610.25/196,720.50
  6. Step 6: Final answer
    x = 903,075.17

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.