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Finding the Third Proportional to 134,282 and 296,509

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Solution

The third proportional to 134,282 and 296,509 is: 654,723.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,282 : 296,509 = 296,509 : x
  2. Step 2: Convert to fraction form
    134,282/296,509 = 296,509/x
  3. Step 3: Cross multiply
    134,282x = 296,509 × 296,509
  4. Step 4: Simplify right side
    134,282x = 87,917,587,081
  5. Step 5: Solve for x
    x = 87,917,587,081/134,282
  6. Step 6: Final answer
    x = 654,723.55

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.