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Finding the Third Proportional to 157,903 and 350,797

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Solution

The third proportional to 157,903 and 350,797 is: 779,329.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,903 : 350,797 = 350,797 : x
  2. Step 2: Convert to fraction form
    157,903/350,797 = 350,797/x
  3. Step 3: Cross multiply
    157,903x = 350,797 × 350,797
  4. Step 4: Simplify right side
    157,903x = 123,058,535,209
  5. Step 5: Solve for x
    x = 123,058,535,209/157,903
  6. Step 6: Final answer
    x = 779,329.94

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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.