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Finding the Third Proportional to 74,725 and 163,483

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Solution

The third proportional to 74,725 and 163,483 is: 357,667.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,725 : 163,483 = 163,483 : x
  2. Step 2: Convert to fraction form
    74,725/163,483 = 163,483/x
  3. Step 3: Cross multiply
    74,725x = 163,483 × 163,483
  4. Step 4: Simplify right side
    74,725x = 26,726,691,289
  5. Step 5: Solve for x
    x = 26,726,691,289/74,725
  6. Step 6: Final answer
    x = 357,667.33

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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.