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Finding the Third Proportional to 148,448 and 350,073

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Solution

The third proportional to 148,448 and 350,073 is: 825,549.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,448 : 350,073 = 350,073 : x
  2. Step 2: Convert to fraction form
    148,448/350,073 = 350,073/x
  3. Step 3: Cross multiply
    148,448x = 350,073 × 350,073
  4. Step 4: Simplify right side
    148,448x = 122,551,105,329
  5. Step 5: Solve for x
    x = 122,551,105,329/148,448
  6. Step 6: Final answer
    x = 825,549.05

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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.