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Finding the Third Proportional to 117,216 and 256,896

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Solution

The third proportional to 117,216 and 256,896 is: 563,025.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,216 : 256,896 = 256,896 : x
  2. Step 2: Convert to fraction form
    117,216/256,896 = 256,896/x
  3. Step 3: Cross multiply
    117,216x = 256,896 × 256,896
  4. Step 4: Simplify right side
    117,216x = 65,995,554,816
  5. Step 5: Solve for x
    x = 65,995,554,816/117,216
  6. Step 6: Final answer
    x = 563,025.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.