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Finding the Third Proportional to 129,264 and 270,240

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Solution

The third proportional to 129,264 and 270,240 is: 564,965.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,264 : 270,240 = 270,240 : x
  2. Step 2: Convert to fraction form
    129,264/270,240 = 270,240/x
  3. Step 3: Cross multiply
    129,264x = 270,240 × 270,240
  4. Step 4: Simplify right side
    129,264x = 73,029,657,600
  5. Step 5: Solve for x
    x = 73,029,657,600/129,264
  6. Step 6: Final answer
    x = 564,965.17

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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.