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Finding the Third Proportional to 157,982 and 350,956

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Solution

The third proportional to 157,982 and 350,956 is: 779,646.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,982 : 350,956 = 350,956 : x
  2. Step 2: Convert to fraction form
    157,982/350,956 = 350,956/x
  3. Step 3: Cross multiply
    157,982x = 350,956 × 350,956
  4. Step 4: Simplify right side
    157,982x = 123,170,113,936
  5. Step 5: Solve for x
    x = 123,170,113,936/157,982
  6. Step 6: Final answer
    x = 779,646.50

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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.