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Finding the Third Proportional to 170,210 and 269,395

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Solution

The third proportional to 170,210 and 269,395 is: 426,377.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,210 : 269,395 = 269,395 : x
  2. Step 2: Convert to fraction form
    170,210/269,395 = 269,395/x
  3. Step 3: Cross multiply
    170,210x = 269,395 × 269,395
  4. Step 4: Simplify right side
    170,210x = 72,573,666,025
  5. Step 5: Solve for x
    x = 72,573,666,025/170,210
  6. Step 6: Final answer
    x = 426,377.22

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