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Finding the Third Proportional to 171,309 and 243,510

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Solution

The third proportional to 171,309 and 243,510 is: 346,141.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,309 : 243,510 = 243,510 : x
  2. Step 2: Convert to fraction form
    171,309/243,510 = 243,510/x
  3. Step 3: Cross multiply
    171,309x = 243,510 × 243,510
  4. Step 4: Simplify right side
    171,309x = 59,297,120,100
  5. Step 5: Solve for x
    x = 59,297,120,100/171,309
  6. Step 6: Final answer
    x = 346,141.30

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.