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Finding the Third Proportional to 161,729 and 350,947

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Solution

The third proportional to 161,729 and 350,947 is: 761,544.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,729 : 350,947 = 350,947 : x
  2. Step 2: Convert to fraction form
    161,729/350,947 = 350,947/x
  3. Step 3: Cross multiply
    161,729x = 350,947 × 350,947
  4. Step 4: Simplify right side
    161,729x = 123,163,796,809
  5. Step 5: Solve for x
    x = 123,163,796,809/161,729
  6. Step 6: Final answer
    x = 761,544.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.