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Finding the Third Proportional to 157,734 and 346,086

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Solution

The third proportional to 157,734 and 346,086 is: 759,351.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,734 : 346,086 = 346,086 : x
  2. Step 2: Convert to fraction form
    157,734/346,086 = 346,086/x
  3. Step 3: Cross multiply
    157,734x = 346,086 × 346,086
  4. Step 4: Simplify right side
    157,734x = 119,775,519,396
  5. Step 5: Solve for x
    x = 119,775,519,396/157,734
  6. Step 6: Final answer
    x = 759,351.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.