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Finding the Third Proportional to 181,056 and 403,584

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Solution

The third proportional to 181,056 and 403,584 is: 899,611.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,056 : 403,584 = 403,584 : x
  2. Step 2: Convert to fraction form
    181,056/403,584 = 403,584/x
  3. Step 3: Cross multiply
    181,056x = 403,584 × 403,584
  4. Step 4: Simplify right side
    181,056x = 162,880,045,056
  5. Step 5: Solve for x
    x = 162,880,045,056/181,056
  6. Step 6: Final answer
    x = 899,611.42

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.