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Finding the Third Proportional to 190,080 and 416,755.13

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Solution

The third proportional to 190,080 and 416,755.13 is: 913,745.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,080 : 416,755.13 = 416,755.13 : x
  2. Step 2: Convert to fraction form
    190,080/416,755.13 = 416,755.13/x
  3. Step 3: Cross multiply
    190,080x = 416,755.13 × 416,755.13
  4. Step 4: Simplify right side
    190,080x = 173,684,834,213.77
  5. Step 5: Solve for x
    x = 173,684,834,213.77/190,080
  6. Step 6: Final answer
    x = 913,745.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.