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Finding the Third Proportional to 172,603.13 and 369,195.19

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Solution

The third proportional to 172,603.13 and 369,195.19 is: 789,702.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,603.13 : 369,195.19 = 369,195.19 : x
  2. Step 2: Convert to fraction form
    172,603.13/369,195.19 = 369,195.19/x
  3. Step 3: Cross multiply
    172,603.13x = 369,195.19 × 369,195.19
  4. Step 4: Simplify right side
    172,603.13x = 136,305,086,473.16
  5. Step 5: Solve for x
    x = 136,305,086,473.16/172,603.13
  6. Step 6: Final answer
    x = 789,702.31

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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.