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Finding the Third Proportional to 170,784 and 255,222

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Solution

The third proportional to 170,784 and 255,222 is: 381,407.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,784 : 255,222 = 255,222 : x
  2. Step 2: Convert to fraction form
    170,784/255,222 = 255,222/x
  3. Step 3: Cross multiply
    170,784x = 255,222 × 255,222
  4. Step 4: Simplify right side
    170,784x = 65,138,269,284
  5. Step 5: Solve for x
    x = 65,138,269,284/170,784
  6. Step 6: Final answer
    x = 381,407.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.