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Finding the Third Proportional to 190,302 and 405,937.50

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Solution

The third proportional to 190,302 and 405,937.50 is: 865,914.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,302 : 405,937.50 = 405,937.50 : x
  2. Step 2: Convert to fraction form
    190,302/405,937.50 = 405,937.50/x
  3. Step 3: Cross multiply
    190,302x = 405,937.50 × 405,937.50
  4. Step 4: Simplify right side
    190,302x = 164,785,253,906.25
  5. Step 5: Solve for x
    x = 164,785,253,906.25/190,302
  6. Step 6: Final answer
    x = 865,914.46

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.