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Finding the Third Proportional to 177,528 and 269,944

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Solution

The third proportional to 177,528 and 269,944 is: 410,469.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,528 : 269,944 = 269,944 : x
  2. Step 2: Convert to fraction form
    177,528/269,944 = 269,944/x
  3. Step 3: Cross multiply
    177,528x = 269,944 × 269,944
  4. Step 4: Simplify right side
    177,528x = 72,869,763,136
  5. Step 5: Solve for x
    x = 72,869,763,136/177,528
  6. Step 6: Final answer
    x = 410,469.13

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.