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Finding the Third Proportional to 149,316 and 324,875

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Solution

The third proportional to 149,316 and 324,875 is: 706,848.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,316 : 324,875 = 324,875 : x
  2. Step 2: Convert to fraction form
    149,316/324,875 = 324,875/x
  3. Step 3: Cross multiply
    149,316x = 324,875 × 324,875
  4. Step 4: Simplify right side
    149,316x = 105,543,765,625
  5. Step 5: Solve for x
    x = 105,543,765,625/149,316
  6. Step 6: Final answer
    x = 706,848.33

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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.