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Finding the Third Proportional to 150,970 and 325,586

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Solution

The third proportional to 150,970 and 325,586 is: 702,167.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,970 : 325,586 = 325,586 : x
  2. Step 2: Convert to fraction form
    150,970/325,586 = 325,586/x
  3. Step 3: Cross multiply
    150,970x = 325,586 × 325,586
  4. Step 4: Simplify right side
    150,970x = 106,006,243,396
  5. Step 5: Solve for x
    x = 106,006,243,396/150,970
  6. Step 6: Final answer
    x = 702,167.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.