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Finding the Third Proportional to 174,016.13 and 368,623.13

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Solution

The third proportional to 174,016.13 and 368,623.13 is: 780,864.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,016.13 : 368,623.13 = 368,623.13 : x
  2. Step 2: Convert to fraction form
    174,016.13/368,623.13 = 368,623.13/x
  3. Step 3: Cross multiply
    174,016.13x = 368,623.13 × 368,623.13
  4. Step 4: Simplify right side
    174,016.13x = 135,883,008,284.77
  5. Step 5: Solve for x
    x = 135,883,008,284.77/174,016.13
  6. Step 6: Final answer
    x = 780,864.46

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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.