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Finding the Third Proportional to 145,316 and 324,652

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Solution

The third proportional to 145,316 and 324,652 is: 725,308.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,316 : 324,652 = 324,652 : x
  2. Step 2: Convert to fraction form
    145,316/324,652 = 324,652/x
  3. Step 3: Cross multiply
    145,316x = 324,652 × 324,652
  4. Step 4: Simplify right side
    145,316x = 105,398,921,104
  5. Step 5: Solve for x
    x = 105,398,921,104/145,316
  6. Step 6: Final answer
    x = 725,308.44

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.