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Finding the Third Proportional to 129,282 and 270,276

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Solution

The third proportional to 129,282 and 270,276 is: 565,037.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,282 : 270,276 = 270,276 : x
  2. Step 2: Convert to fraction form
    129,282/270,276 = 270,276/x
  3. Step 3: Cross multiply
    129,282x = 270,276 × 270,276
  4. Step 4: Simplify right side
    129,282x = 73,049,116,176
  5. Step 5: Solve for x
    x = 73,049,116,176/129,282
  6. Step 6: Final answer
    x = 565,037.02

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.