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Finding the Third Proportional to 142,704 and 337,483

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Solution

The third proportional to 142,704 and 337,483 is: 798,119.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,704 : 337,483 = 337,483 : x
  2. Step 2: Convert to fraction form
    142,704/337,483 = 337,483/x
  3. Step 3: Cross multiply
    142,704x = 337,483 × 337,483
  4. Step 4: Simplify right side
    142,704x = 113,894,775,289
  5. Step 5: Solve for x
    x = 113,894,775,289/142,704
  6. Step 6: Final answer
    x = 798,119.01

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.