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Finding the Third Proportional to 149,264 and 324,784

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Solution

The third proportional to 149,264 and 324,784 is: 706,698.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,264 : 324,784 = 324,784 : x
  2. Step 2: Convert to fraction form
    149,264/324,784 = 324,784/x
  3. Step 3: Cross multiply
    149,264x = 324,784 × 324,784
  4. Step 4: Simplify right side
    149,264x = 105,484,646,656
  5. Step 5: Solve for x
    x = 105,484,646,656/149,264
  6. Step 6: Final answer
    x = 706,698.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.