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Finding the Third Proportional to 148,968 and 340,341

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Solution

The third proportional to 148,968 and 340,341 is: 777,562.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,968 : 340,341 = 340,341 : x
  2. Step 2: Convert to fraction form
    148,968/340,341 = 340,341/x
  3. Step 3: Cross multiply
    148,968x = 340,341 × 340,341
  4. Step 4: Simplify right side
    148,968x = 115,831,996,281
  5. Step 5: Solve for x
    x = 115,831,996,281/148,968
  6. Step 6: Final answer
    x = 777,562.94

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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.