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Finding the Third Proportional to 170,452 and 255,570

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Solution

The third proportional to 170,452 and 255,570 is: 383,193.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,452 : 255,570 = 255,570 : x
  2. Step 2: Convert to fraction form
    170,452/255,570 = 255,570/x
  3. Step 3: Cross multiply
    170,452x = 255,570 × 255,570
  4. Step 4: Simplify right side
    170,452x = 65,316,024,900
  5. Step 5: Solve for x
    x = 65,316,024,900/170,452
  6. Step 6: Final answer
    x = 383,193.07

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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.