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Finding the Third Proportional to 189,912 and 416,056

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Solution

The third proportional to 189,912 and 416,056 is: 911,488.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,912 : 416,056 = 416,056 : x
  2. Step 2: Convert to fraction form
    189,912/416,056 = 416,056/x
  3. Step 3: Cross multiply
    189,912x = 416,056 × 416,056
  4. Step 4: Simplify right side
    189,912x = 173,102,595,136
  5. Step 5: Solve for x
    x = 173,102,595,136/189,912
  6. Step 6: Final answer
    x = 911,488.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.