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Finding the Third Proportional to 254,896 and 344,923

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Solution

The third proportional to 254,896 and 344,923 is: 466,746.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,896 : 344,923 = 344,923 : x
  2. Step 2: Convert to fraction form
    254,896/344,923 = 344,923/x
  3. Step 3: Cross multiply
    254,896x = 344,923 × 344,923
  4. Step 4: Simplify right side
    254,896x = 118,971,875,929
  5. Step 5: Solve for x
    x = 118,971,875,929/254,896
  6. Step 6: Final answer
    x = 466,746.74

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.