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Finding the Third Proportional to 148,976 and 340,361

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Solution

The third proportional to 148,976 and 340,361 is: 777,612.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,976 : 340,361 = 340,361 : x
  2. Step 2: Convert to fraction form
    148,976/340,361 = 340,361/x
  3. Step 3: Cross multiply
    148,976x = 340,361 × 340,361
  4. Step 4: Simplify right side
    148,976x = 115,845,610,321
  5. Step 5: Solve for x
    x = 115,845,610,321/148,976
  6. Step 6: Final answer
    x = 777,612.57

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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.