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Finding the Third Proportional to 166,206.94 and 242,033.06

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Solution

The third proportional to 166,206.94 and 242,033.06 is: 352,452.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,206.94 : 242,033.06 = 242,033.06 : x
  2. Step 2: Convert to fraction form
    166,206.94/242,033.06 = 242,033.06/x
  3. Step 3: Cross multiply
    166,206.94x = 242,033.06 × 242,033.06
  4. Step 4: Simplify right side
    166,206.94x = 58,580,003,343.13
  5. Step 5: Solve for x
    x = 58,580,003,343.13/166,206.94
  6. Step 6: Final answer
    x = 352,452.22

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.