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Finding the Third Proportional to 200,384 and 299,944

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Solution

The third proportional to 200,384 and 299,944 is: 448,969.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,384 : 299,944 = 299,944 : x
  2. Step 2: Convert to fraction form
    200,384/299,944 = 299,944/x
  3. Step 3: Cross multiply
    200,384x = 299,944 × 299,944
  4. Step 4: Simplify right side
    200,384x = 89,966,403,136
  5. Step 5: Solve for x
    x = 89,966,403,136/200,384
  6. Step 6: Final answer
    x = 448,969.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.