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Finding the Third Proportional to 122,844 and 254,904

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Solution

The third proportional to 122,844 and 254,904 is: 528,931.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,844 : 254,904 = 254,904 : x
  2. Step 2: Convert to fraction form
    122,844/254,904 = 254,904/x
  3. Step 3: Cross multiply
    122,844x = 254,904 × 254,904
  4. Step 4: Simplify right side
    122,844x = 64,976,049,216
  5. Step 5: Solve for x
    x = 64,976,049,216/122,844
  6. Step 6: Final answer
    x = 528,931.40

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.