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Finding the Third Proportional to 170,475 and 255,711

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Solution

The third proportional to 170,475 and 255,711 is: 383,564.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,475 : 255,711 = 255,711 : x
  2. Step 2: Convert to fraction form
    170,475/255,711 = 255,711/x
  3. Step 3: Cross multiply
    170,475x = 255,711 × 255,711
  4. Step 4: Simplify right side
    170,475x = 65,388,115,521
  5. Step 5: Solve for x
    x = 65,388,115,521/170,475
  6. Step 6: Final answer
    x = 383,564.25

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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.