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Finding the Third Proportional to 201,170 and 435,008

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Solution

The third proportional to 201,170 and 435,008 is: 940,656.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,170 : 435,008 = 435,008 : x
  2. Step 2: Convert to fraction form
    201,170/435,008 = 435,008/x
  3. Step 3: Cross multiply
    201,170x = 435,008 × 435,008
  4. Step 4: Simplify right side
    201,170x = 189,231,960,064
  5. Step 5: Solve for x
    x = 189,231,960,064/201,170
  6. Step 6: Final answer
    x = 940,656.96

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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.