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Finding the Third Proportional to 74,336 and 162,496

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Solution

The third proportional to 74,336 and 162,496 is: 355,210.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,336 : 162,496 = 162,496 : x
  2. Step 2: Convert to fraction form
    74,336/162,496 = 162,496/x
  3. Step 3: Cross multiply
    74,336x = 162,496 × 162,496
  4. Step 4: Simplify right side
    74,336x = 26,404,950,016
  5. Step 5: Solve for x
    x = 26,404,950,016/74,336
  6. Step 6: Final answer
    x = 355,210.80

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.