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Finding the Third Proportional to 130,960 and 193,984

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Solution

The third proportional to 130,960 and 193,984 is: 287,338.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,960 : 193,984 = 193,984 : x
  2. Step 2: Convert to fraction form
    130,960/193,984 = 193,984/x
  3. Step 3: Cross multiply
    130,960x = 193,984 × 193,984
  4. Step 4: Simplify right side
    130,960x = 37,629,792,256
  5. Step 5: Solve for x
    x = 37,629,792,256/130,960
  6. Step 6: Final answer
    x = 287,338.06

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.