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Finding the Third Proportional to 169,896 and 255,272

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Solution

The third proportional to 169,896 and 255,272 is: 383,551.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,896 : 255,272 = 255,272 : x
  2. Step 2: Convert to fraction form
    169,896/255,272 = 255,272/x
  3. Step 3: Cross multiply
    169,896x = 255,272 × 255,272
  4. Step 4: Simplify right side
    169,896x = 65,163,793,984
  5. Step 5: Solve for x
    x = 65,163,793,984/169,896
  6. Step 6: Final answer
    x = 383,551.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.