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Finding the Third Proportional to 190,842 and 259,182.75

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Solution

The third proportional to 190,842 and 259,182.75 is: 351,996.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,842 : 259,182.75 = 259,182.75 : x
  2. Step 2: Convert to fraction form
    190,842/259,182.75 = 259,182.75/x
  3. Step 3: Cross multiply
    190,842x = 259,182.75 × 259,182.75
  4. Step 4: Simplify right side
    190,842x = 67,175,697,897.56
  5. Step 5: Solve for x
    x = 67,175,697,897.56/190,842
  6. Step 6: Final answer
    x = 351,996.40

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.