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Finding the Third Proportional to 148,384 and 350,052

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Solution

The third proportional to 148,384 and 350,052 is: 825,806.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,384 : 350,052 = 350,052 : x
  2. Step 2: Convert to fraction form
    148,384/350,052 = 350,052/x
  3. Step 3: Cross multiply
    148,384x = 350,052 × 350,052
  4. Step 4: Simplify right side
    148,384x = 122,536,402,704
  5. Step 5: Solve for x
    x = 122,536,402,704/148,384
  6. Step 6: Final answer
    x = 825,806.04

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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.