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Finding the Third Proportional to 148,170 and 349,623

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Solution

The third proportional to 148,170 and 349,623 is: 824,972.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,170 : 349,623 = 349,623 : x
  2. Step 2: Convert to fraction form
    148,170/349,623 = 349,623/x
  3. Step 3: Cross multiply
    148,170x = 349,623 × 349,623
  4. Step 4: Simplify right side
    148,170x = 122,236,242,129
  5. Step 5: Solve for x
    x = 122,236,242,129/148,170
  6. Step 6: Final answer
    x = 824,972.95

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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.