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Finding the Third Proportional to 117,261.86 and 256,029.17

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Solution

The third proportional to 117,261.86 and 256,029.17 is: 559,013.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,261.86 : 256,029.17 = 256,029.17 : x
  2. Step 2: Convert to fraction form
    117,261.86/256,029.17 = 256,029.17/x
  3. Step 3: Cross multiply
    117,261.86x = 256,029.17 × 256,029.17
  4. Step 4: Simplify right side
    117,261.86x = 65,550,935,569.61
  5. Step 5: Solve for x
    x = 65,550,935,569.61/117,261.86
  6. Step 6: Final answer
    x = 559,013.28

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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.