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Finding the Third Proportional to 170,188 and 363,544

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Solution

The third proportional to 170,188 and 363,544 is: 776,577.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,188 : 363,544 = 363,544 : x
  2. Step 2: Convert to fraction form
    170,188/363,544 = 363,544/x
  3. Step 3: Cross multiply
    170,188x = 363,544 × 363,544
  4. Step 4: Simplify right side
    170,188x = 132,164,239,936
  5. Step 5: Solve for x
    x = 132,164,239,936/170,188
  6. Step 6: Final answer
    x = 776,577.90

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.