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Finding the Third Proportional to 151,354 and 324,440

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Solution

The third proportional to 151,354 and 324,440 is: 695,464.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,354 : 324,440 = 324,440 : x
  2. Step 2: Convert to fraction form
    151,354/324,440 = 324,440/x
  3. Step 3: Cross multiply
    151,354x = 324,440 × 324,440
  4. Step 4: Simplify right side
    151,354x = 105,261,313,600
  5. Step 5: Solve for x
    x = 105,261,313,600/151,354
  6. Step 6: Final answer
    x = 695,464.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.