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Finding the Third Proportional to 148,854 and 351,102

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Solution

The third proportional to 148,854 and 351,102 is: 828,144.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,854 : 351,102 = 351,102 : x
  2. Step 2: Convert to fraction form
    148,854/351,102 = 351,102/x
  3. Step 3: Cross multiply
    148,854x = 351,102 × 351,102
  4. Step 4: Simplify right side
    148,854x = 123,272,614,404
  5. Step 5: Solve for x
    x = 123,272,614,404/148,854
  6. Step 6: Final answer
    x = 828,144.45

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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.