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Finding the Third Proportional to 74,762 and 163,284

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Solution

The third proportional to 74,762 and 163,284 is: 356,620.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,762 : 163,284 = 163,284 : x
  2. Step 2: Convert to fraction form
    74,762/163,284 = 163,284/x
  3. Step 3: Cross multiply
    74,762x = 163,284 × 163,284
  4. Step 4: Simplify right side
    74,762x = 26,661,664,656
  5. Step 5: Solve for x
    x = 26,661,664,656/74,762
  6. Step 6: Final answer
    x = 356,620.54

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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.