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Finding the Third Proportional to 242,705.25 and 379,901.25

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Solution

The third proportional to 242,705.25 and 379,901.25 is: 594,651.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,705.25 : 379,901.25 = 379,901.25 : x
  2. Step 2: Convert to fraction form
    242,705.25/379,901.25 = 379,901.25/x
  3. Step 3: Cross multiply
    242,705.25x = 379,901.25 × 379,901.25
  4. Step 4: Simplify right side
    242,705.25x = 144,324,959,751.56
  5. Step 5: Solve for x
    x = 144,324,959,751.56/242,705.25
  6. Step 6: Final answer
    x = 594,651.17

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.