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Finding the Third Proportional to 170,468 and 255,702.25

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Solution

The third proportional to 170,468 and 255,702.25 is: 383,553.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,468 : 255,702.25 = 255,702.25 : x
  2. Step 2: Convert to fraction form
    170,468/255,702.25 = 255,702.25/x
  3. Step 3: Cross multiply
    170,468x = 255,702.25 × 255,702.25
  4. Step 4: Simplify right side
    170,468x = 65,383,640,655.06
  5. Step 5: Solve for x
    x = 65,383,640,655.06/170,468
  6. Step 6: Final answer
    x = 383,553.75

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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.