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Finding the Third Proportional to 165,424 and 201,712

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Solution

The third proportional to 165,424 and 201,712 is: 245,960.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,424 : 201,712 = 201,712 : x
  2. Step 2: Convert to fraction form
    165,424/201,712 = 201,712/x
  3. Step 3: Cross multiply
    165,424x = 201,712 × 201,712
  4. Step 4: Simplify right side
    165,424x = 40,687,730,944
  5. Step 5: Solve for x
    x = 40,687,730,944/165,424
  6. Step 6: Final answer
    x = 245,960.27

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.