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Finding the Third Proportional to 163,584 and 350,819

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Solution

The third proportional to 163,584 and 350,819 is: 752,359.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,584 : 350,819 = 350,819 : x
  2. Step 2: Convert to fraction form
    163,584/350,819 = 350,819/x
  3. Step 3: Cross multiply
    163,584x = 350,819 × 350,819
  4. Step 4: Simplify right side
    163,584x = 123,073,970,761
  5. Step 5: Solve for x
    x = 123,073,970,761/163,584
  6. Step 6: Final answer
    x = 752,359.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.