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Finding the Third Proportional to 117,264 and 256,034

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Solution

The third proportional to 117,264 and 256,034 is: 559,024.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,264 : 256,034 = 256,034 : x
  2. Step 2: Convert to fraction form
    117,264/256,034 = 256,034/x
  3. Step 3: Cross multiply
    117,264x = 256,034 × 256,034
  4. Step 4: Simplify right side
    117,264x = 65,553,409,156
  5. Step 5: Solve for x
    x = 65,553,409,156/117,264
  6. Step 6: Final answer
    x = 559,024.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.