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Finding the Third Proportional to 157,986 and 350,964

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Solution

The third proportional to 157,986 and 350,964 is: 779,662.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,986 : 350,964 = 350,964 : x
  2. Step 2: Convert to fraction form
    157,986/350,964 = 350,964/x
  3. Step 3: Cross multiply
    157,986x = 350,964 × 350,964
  4. Step 4: Simplify right side
    157,986x = 123,175,729,296
  5. Step 5: Solve for x
    x = 123,175,729,296/157,986
  6. Step 6: Final answer
    x = 779,662.31

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.