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Finding the Third Proportional to 170,462 and 255,585

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Solution

The third proportional to 170,462 and 255,585 is: 383,215.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,462 : 255,585 = 255,585 : x
  2. Step 2: Convert to fraction form
    170,462/255,585 = 255,585/x
  3. Step 3: Cross multiply
    170,462x = 255,585 × 255,585
  4. Step 4: Simplify right side
    170,462x = 65,323,692,225
  5. Step 5: Solve for x
    x = 65,323,692,225/170,462
  6. Step 6: Final answer
    x = 383,215.57

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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.