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Finding the Third Proportional to 166,788 and 354,719.25

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Solution

The third proportional to 166,788 and 354,719.25 is: 754,405.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,788 : 354,719.25 = 354,719.25 : x
  2. Step 2: Convert to fraction form
    166,788/354,719.25 = 354,719.25/x
  3. Step 3: Cross multiply
    166,788x = 354,719.25 × 354,719.25
  4. Step 4: Simplify right side
    166,788x = 125,825,746,320.56
  5. Step 5: Solve for x
    x = 125,825,746,320.56/166,788
  6. Step 6: Final answer
    x = 754,405.27

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.