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Finding the Third Proportional to 134,270 and 205,293

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Solution

The third proportional to 134,270 and 205,293 is: 313,884.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,270 : 205,293 = 205,293 : x
  2. Step 2: Convert to fraction form
    134,270/205,293 = 205,293/x
  3. Step 3: Cross multiply
    134,270x = 205,293 × 205,293
  4. Step 4: Simplify right side
    134,270x = 42,145,215,849
  5. Step 5: Solve for x
    x = 42,145,215,849/134,270
  6. Step 6: Final answer
    x = 313,884.08

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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.