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Finding the Third Proportional to 190,084.50 and 410,301

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Solution

The third proportional to 190,084.50 and 410,301 is: 885,642.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,084.50 : 410,301 = 410,301 : x
  2. Step 2: Convert to fraction form
    190,084.50/410,301 = 410,301/x
  3. Step 3: Cross multiply
    190,084.50x = 410,301 × 410,301
  4. Step 4: Simplify right side
    190,084.50x = 168,346,910,601
  5. Step 5: Solve for x
    x = 168,346,910,601/190,084.50
  6. Step 6: Final answer
    x = 885,642.49

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.