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Finding the Third Proportional to 148,968 and 340,340

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Solution

The third proportional to 148,968 and 340,340 is: 777,558.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,968 : 340,340 = 340,340 : x
  2. Step 2: Convert to fraction form
    148,968/340,340 = 340,340/x
  3. Step 3: Cross multiply
    148,968x = 340,340 × 340,340
  4. Step 4: Simplify right side
    148,968x = 115,831,315,600
  5. Step 5: Solve for x
    x = 115,831,315,600/148,968
  6. Step 6: Final answer
    x = 777,558.37

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.