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Finding the Third Proportional to 193,160 and 295,504

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Solution

The third proportional to 193,160 and 295,504 is: 452,074.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,160 : 295,504 = 295,504 : x
  2. Step 2: Convert to fraction form
    193,160/295,504 = 295,504/x
  3. Step 3: Cross multiply
    193,160x = 295,504 × 295,504
  4. Step 4: Simplify right side
    193,160x = 87,322,614,016
  5. Step 5: Solve for x
    x = 87,322,614,016/193,160
  6. Step 6: Final answer
    x = 452,074.00

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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.