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Finding the Third Proportional to 79,463 and 168,403

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Solution

The third proportional to 79,463 and 168,403 is: 356,890.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,463 : 168,403 = 168,403 : x
  2. Step 2: Convert to fraction form
    79,463/168,403 = 168,403/x
  3. Step 3: Cross multiply
    79,463x = 168,403 × 168,403
  4. Step 4: Simplify right side
    79,463x = 28,359,570,409
  5. Step 5: Solve for x
    x = 28,359,570,409/79,463
  6. Step 6: Final answer
    x = 356,890.26

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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.