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Finding the Third Proportional to 167,001.75 and 350,406

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Solution

The third proportional to 167,001.75 and 350,406 is: 735,228.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,001.75 : 350,406 = 350,406 : x
  2. Step 2: Convert to fraction form
    167,001.75/350,406 = 350,406/x
  3. Step 3: Cross multiply
    167,001.75x = 350,406 × 350,406
  4. Step 4: Simplify right side
    167,001.75x = 122,784,364,836
  5. Step 5: Solve for x
    x = 122,784,364,836/167,001.75
  6. Step 6: Final answer
    x = 735,228.01

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.