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Finding the Third Proportional to 79,465 and 168,407

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Solution

The third proportional to 79,465 and 168,407 is: 356,898.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,465 : 168,407 = 168,407 : x
  2. Step 2: Convert to fraction form
    79,465/168,407 = 168,407/x
  3. Step 3: Cross multiply
    79,465x = 168,407 × 168,407
  4. Step 4: Simplify right side
    79,465x = 28,360,917,649
  5. Step 5: Solve for x
    x = 28,360,917,649/79,465
  6. Step 6: Final answer
    x = 356,898.23

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.