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Finding the Third Proportional to 148,959 and 351,324

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Solution

The third proportional to 148,959 and 351,324 is: 828,607.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,959 : 351,324 = 351,324 : x
  2. Step 2: Convert to fraction form
    148,959/351,324 = 351,324/x
  3. Step 3: Cross multiply
    148,959x = 351,324 × 351,324
  4. Step 4: Simplify right side
    148,959x = 123,428,552,976
  5. Step 5: Solve for x
    x = 123,428,552,976/148,959
  6. Step 6: Final answer
    x = 828,607.56

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.