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Finding the Third Proportional to 168,038 and 363,660

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Solution

The third proportional to 168,038 and 363,660 is: 787,016.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,038 : 363,660 = 363,660 : x
  2. Step 2: Convert to fraction form
    168,038/363,660 = 363,660/x
  3. Step 3: Cross multiply
    168,038x = 363,660 × 363,660
  4. Step 4: Simplify right side
    168,038x = 132,248,595,600
  5. Step 5: Solve for x
    x = 132,248,595,600/168,038
  6. Step 6: Final answer
    x = 787,016.01

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.