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Finding the Third Proportional to 149,270 and 324,502

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Solution

The third proportional to 149,270 and 324,502 is: 705,443.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,270 : 324,502 = 324,502 : x
  2. Step 2: Convert to fraction form
    149,270/324,502 = 324,502/x
  3. Step 3: Cross multiply
    149,270x = 324,502 × 324,502
  4. Step 4: Simplify right side
    149,270x = 105,301,548,004
  5. Step 5: Solve for x
    x = 105,301,548,004/149,270
  6. Step 6: Final answer
    x = 705,443.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.