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Finding the Third Proportional to 157,898 and 350,788

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Solution

The third proportional to 157,898 and 350,788 is: 779,314.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,898 : 350,788 = 350,788 : x
  2. Step 2: Convert to fraction form
    157,898/350,788 = 350,788/x
  3. Step 3: Cross multiply
    157,898x = 350,788 × 350,788
  4. Step 4: Simplify right side
    157,898x = 123,052,220,944
  5. Step 5: Solve for x
    x = 123,052,220,944/157,898
  6. Step 6: Final answer
    x = 779,314.63

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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.