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Finding the Third Proportional to 177,472 and 268,056

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Solution

The third proportional to 177,472 and 268,056 is: 404,875.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,472 : 268,056 = 268,056 : x
  2. Step 2: Convert to fraction form
    177,472/268,056 = 268,056/x
  3. Step 3: Cross multiply
    177,472x = 268,056 × 268,056
  4. Step 4: Simplify right side
    177,472x = 71,854,019,136
  5. Step 5: Solve for x
    x = 71,854,019,136/177,472
  6. Step 6: Final answer
    x = 404,875.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.