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Finding the Third Proportional to 170,468 and 255,594

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Solution

The third proportional to 170,468 and 255,594 is: 383,229.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,468 : 255,594 = 255,594 : x
  2. Step 2: Convert to fraction form
    170,468/255,594 = 255,594/x
  3. Step 3: Cross multiply
    170,468x = 255,594 × 255,594
  4. Step 4: Simplify right side
    170,468x = 65,328,292,836
  5. Step 5: Solve for x
    x = 65,328,292,836/170,468
  6. Step 6: Final answer
    x = 383,229.07

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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.