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Finding the Third Proportional to 152,667 and 325,623

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Solution

The third proportional to 152,667 and 325,623 is: 694,520.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,667 : 325,623 = 325,623 : x
  2. Step 2: Convert to fraction form
    152,667/325,623 = 325,623/x
  3. Step 3: Cross multiply
    152,667x = 325,623 × 325,623
  4. Step 4: Simplify right side
    152,667x = 106,030,338,129
  5. Step 5: Solve for x
    x = 106,030,338,129/152,667
  6. Step 6: Final answer
    x = 694,520.35

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.