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Finding the Third Proportional to 175,505.06 and 264,827.81

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Solution

The third proportional to 175,505.06 and 264,827.81 is: 399,611.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,505.06 : 264,827.81 = 264,827.81 : x
  2. Step 2: Convert to fraction form
    175,505.06/264,827.81 = 264,827.81/x
  3. Step 3: Cross multiply
    175,505.06x = 264,827.81 × 264,827.81
  4. Step 4: Simplify right side
    175,505.06x = 70,133,770,273.54
  5. Step 5: Solve for x
    x = 70,133,770,273.54/175,505.06
  6. Step 6: Final answer
    x = 399,611.10

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.