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Finding the Third Proportional to 166,053.75 and 348,837

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Solution

The third proportional to 166,053.75 and 348,837 is: 732,818.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,053.75 : 348,837 = 348,837 : x
  2. Step 2: Convert to fraction form
    166,053.75/348,837 = 348,837/x
  3. Step 3: Cross multiply
    166,053.75x = 348,837 × 348,837
  4. Step 4: Simplify right side
    166,053.75x = 121,687,252,569
  5. Step 5: Solve for x
    x = 121,687,252,569/166,053.75
  6. Step 6: Final answer
    x = 732,818.46

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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.