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Finding the Third Proportional to 170,532 and 255,798

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Solution

The third proportional to 170,532 and 255,798 is: 383,697

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,532 : 255,798 = 255,798 : x
  2. Step 2: Convert to fraction form
    170,532/255,798 = 255,798/x
  3. Step 3: Cross multiply
    170,532x = 255,798 × 255,798
  4. Step 4: Simplify right side
    170,532x = 65,432,616,804
  5. Step 5: Solve for x
    x = 65,432,616,804/170,532
  6. Step 6: Final answer
    x = 383,697

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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.