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Finding the Third Proportional to 182,056.78 and 371,342.81

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Solution

The third proportional to 182,056.78 and 371,342.81 is: 757,431.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,056.78 : 371,342.81 = 371,342.81 : x
  2. Step 2: Convert to fraction form
    182,056.78/371,342.81 = 371,342.81/x
  3. Step 3: Cross multiply
    182,056.78x = 371,342.81 × 371,342.81
  4. Step 4: Simplify right side
    182,056.78x = 137,895,484,395.41
  5. Step 5: Solve for x
    x = 137,895,484,395.41/182,056.78
  6. Step 6: Final answer
    x = 757,431.19

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.