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Finding the Third Proportional to 117,276 and 256,764

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Solution

The third proportional to 117,276 and 256,764 is: 562,158.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,276 : 256,764 = 256,764 : x
  2. Step 2: Convert to fraction form
    117,276/256,764 = 256,764/x
  3. Step 3: Cross multiply
    117,276x = 256,764 × 256,764
  4. Step 4: Simplify right side
    117,276x = 65,927,751,696
  5. Step 5: Solve for x
    x = 65,927,751,696/117,276
  6. Step 6: Final answer
    x = 562,158.94

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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.