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Finding the Third Proportional to 221,180 and 350,724

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Solution

The third proportional to 221,180 and 350,724 is: 556,141.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,180 : 350,724 = 350,724 : x
  2. Step 2: Convert to fraction form
    221,180/350,724 = 350,724/x
  3. Step 3: Cross multiply
    221,180x = 350,724 × 350,724
  4. Step 4: Simplify right side
    221,180x = 123,007,324,176
  5. Step 5: Solve for x
    x = 123,007,324,176/221,180
  6. Step 6: Final answer
    x = 556,141.26

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.