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Finding the Third Proportional to 170,264 and 269,476

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Solution

The third proportional to 170,264 and 269,476 is: 426,498.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,264 : 269,476 = 269,476 : x
  2. Step 2: Convert to fraction form
    170,264/269,476 = 269,476/x
  3. Step 3: Cross multiply
    170,264x = 269,476 × 269,476
  4. Step 4: Simplify right side
    170,264x = 72,617,314,576
  5. Step 5: Solve for x
    x = 72,617,314,576/170,264
  6. Step 6: Final answer
    x = 426,498.35

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.