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Finding the Third Proportional to 117,283 and 256,074

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Solution

The third proportional to 117,283 and 256,074 is: 559,108.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,283 : 256,074 = 256,074 : x
  2. Step 2: Convert to fraction form
    117,283/256,074 = 256,074/x
  3. Step 3: Cross multiply
    117,283x = 256,074 × 256,074
  4. Step 4: Simplify right side
    117,283x = 65,573,893,476
  5. Step 5: Solve for x
    x = 65,573,893,476/117,283
  6. Step 6: Final answer
    x = 559,108.26

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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.