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Finding the Third Proportional to 201,971 and 299,056

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Solution

The third proportional to 201,971 and 299,056 is: 442,808.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,971 : 299,056 = 299,056 : x
  2. Step 2: Convert to fraction form
    201,971/299,056 = 299,056/x
  3. Step 3: Cross multiply
    201,971x = 299,056 × 299,056
  4. Step 4: Simplify right side
    201,971x = 89,434,491,136
  5. Step 5: Solve for x
    x = 89,434,491,136/201,971
  6. Step 6: Final answer
    x = 442,808.58

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.