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Finding the Third Proportional to 74,634 and 162,396

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Solution

The third proportional to 74,634 and 162,396 is: 353,357.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,634 : 162,396 = 162,396 : x
  2. Step 2: Convert to fraction form
    74,634/162,396 = 162,396/x
  3. Step 3: Cross multiply
    74,634x = 162,396 × 162,396
  4. Step 4: Simplify right side
    74,634x = 26,372,460,816
  5. Step 5: Solve for x
    x = 26,372,460,816/74,634
  6. Step 6: Final answer
    x = 353,357.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.