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Finding the Third Proportional to 174,214.13 and 369,361.13

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Solution

The third proportional to 174,214.13 and 369,361.13 is: 783,103.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,214.13 : 369,361.13 = 369,361.13 : x
  2. Step 2: Convert to fraction form
    174,214.13/369,361.13 = 369,361.13/x
  3. Step 3: Cross multiply
    174,214.13x = 369,361.13 × 369,361.13
  4. Step 4: Simplify right side
    174,214.13x = 136,427,640,661.27
  5. Step 5: Solve for x
    x = 136,427,640,661.27/174,214.13
  6. Step 6: Final answer
    x = 783,103.21

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Why These Related Problems?

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