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Finding the Third Proportional to 157,738 and 346,010

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Solution

The third proportional to 157,738 and 346,010 is: 758,998.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,738 : 346,010 = 346,010 : x
  2. Step 2: Convert to fraction form
    157,738/346,010 = 346,010/x
  3. Step 3: Cross multiply
    157,738x = 346,010 × 346,010
  4. Step 4: Simplify right side
    157,738x = 119,722,920,100
  5. Step 5: Solve for x
    x = 119,722,920,100/157,738
  6. Step 6: Final answer
    x = 758,998.59

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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.