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Finding the Third Proportional to 178,410 and 244,639.50

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Solution

The third proportional to 178,410 and 244,639.50 is: 335,454.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,410 : 244,639.50 = 244,639.50 : x
  2. Step 2: Convert to fraction form
    178,410/244,639.50 = 244,639.50/x
  3. Step 3: Cross multiply
    178,410x = 244,639.50 × 244,639.50
  4. Step 4: Simplify right side
    178,410x = 59,848,484,960.25
  5. Step 5: Solve for x
    x = 59,848,484,960.25/178,410
  6. Step 6: Final answer
    x = 335,454.77

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.