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Finding the Third Proportional to 157,974 and 347,968

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Solution

The third proportional to 157,974 and 347,968 is: 766,466.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,974 : 347,968 = 347,968 : x
  2. Step 2: Convert to fraction form
    157,974/347,968 = 347,968/x
  3. Step 3: Cross multiply
    157,974x = 347,968 × 347,968
  4. Step 4: Simplify right side
    157,974x = 121,081,729,024
  5. Step 5: Solve for x
    x = 121,081,729,024/157,974
  6. Step 6: Final answer
    x = 766,466.18

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.