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Finding the Third Proportional to 193,175 and 295,502

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Solution

The third proportional to 193,175 and 295,502 is: 452,032.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,175 : 295,502 = 295,502 : x
  2. Step 2: Convert to fraction form
    193,175/295,502 = 295,502/x
  3. Step 3: Cross multiply
    193,175x = 295,502 × 295,502
  4. Step 4: Simplify right side
    193,175x = 87,321,432,004
  5. Step 5: Solve for x
    x = 87,321,432,004/193,175
  6. Step 6: Final answer
    x = 452,032.78

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.