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Finding the Third Proportional to 170,178 and 363,524

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Solution

The third proportional to 170,178 and 363,524 is: 776,538.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,178 : 363,524 = 363,524 : x
  2. Step 2: Convert to fraction form
    170,178/363,524 = 363,524/x
  3. Step 3: Cross multiply
    170,178x = 363,524 × 363,524
  4. Step 4: Simplify right side
    170,178x = 132,149,698,576
  5. Step 5: Solve for x
    x = 132,149,698,576/170,178
  6. Step 6: Final answer
    x = 776,538.09

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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.