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Finding the Third Proportional to 181,268 and 400,056

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Solution

The third proportional to 181,268 and 400,056 is: 882,918.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,268 : 400,056 = 400,056 : x
  2. Step 2: Convert to fraction form
    181,268/400,056 = 400,056/x
  3. Step 3: Cross multiply
    181,268x = 400,056 × 400,056
  4. Step 4: Simplify right side
    181,268x = 160,044,803,136
  5. Step 5: Solve for x
    x = 160,044,803,136/181,268
  6. Step 6: Final answer
    x = 882,918.13

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.