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Finding the Third Proportional to 173,988 and 369,299.25

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Solution

The third proportional to 173,988 and 369,299.25 is: 783,858.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,988 : 369,299.25 = 369,299.25 : x
  2. Step 2: Convert to fraction form
    173,988/369,299.25 = 369,299.25/x
  3. Step 3: Cross multiply
    173,988x = 369,299.25 × 369,299.25
  4. Step 4: Simplify right side
    173,988x = 136,381,936,050.56
  5. Step 5: Solve for x
    x = 136,381,936,050.56/173,988
  6. Step 6: Final answer
    x = 783,858.29

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.