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Finding the Third Proportional to 148,316 and 349,962

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Solution

The third proportional to 148,316 and 349,962 is: 825,759.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,316 : 349,962 = 349,962 : x
  2. Step 2: Convert to fraction form
    148,316/349,962 = 349,962/x
  3. Step 3: Cross multiply
    148,316x = 349,962 × 349,962
  4. Step 4: Simplify right side
    148,316x = 122,473,401,444
  5. Step 5: Solve for x
    x = 122,473,401,444/148,316
  6. Step 6: Final answer
    x = 825,759.87

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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.