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Finding the Third Proportional to 174,936.38 and 360,914.06

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Solution

The third proportional to 174,936.38 and 360,914.06 is: 744,607.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,936.38 : 360,914.06 = 360,914.06 : x
  2. Step 2: Convert to fraction form
    174,936.38/360,914.06 = 360,914.06/x
  3. Step 3: Cross multiply
    174,936.38x = 360,914.06 × 360,914.06
  4. Step 4: Simplify right side
    174,936.38x = 130,258,960,510.25
  5. Step 5: Solve for x
    x = 130,258,960,510.25/174,936.38
  6. Step 6: Final answer
    x = 744,607.64

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.