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Finding the Third Proportional to 150,574 and 327,391

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Solution

The third proportional to 150,574 and 327,391 is: 711,841.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,574 : 327,391 = 327,391 : x
  2. Step 2: Convert to fraction form
    150,574/327,391 = 327,391/x
  3. Step 3: Cross multiply
    150,574x = 327,391 × 327,391
  4. Step 4: Simplify right side
    150,574x = 107,184,866,881
  5. Step 5: Solve for x
    x = 107,184,866,881/150,574
  6. Step 6: Final answer
    x = 711,841.80

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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.