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Finding the Third Proportional to 157,849 and 346,259

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Solution

The third proportional to 157,849 and 346,259 is: 759,556.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,849 : 346,259 = 346,259 : x
  2. Step 2: Convert to fraction form
    157,849/346,259 = 346,259/x
  3. Step 3: Cross multiply
    157,849x = 346,259 × 346,259
  4. Step 4: Simplify right side
    157,849x = 119,895,295,081
  5. Step 5: Solve for x
    x = 119,895,295,081/157,849
  6. Step 6: Final answer
    x = 759,556.89

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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.