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Finding the Third Proportional to 218,430 and 329,652

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Solution

The third proportional to 218,430 and 329,652 is: 497,506.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,430 : 329,652 = 329,652 : x
  2. Step 2: Convert to fraction form
    218,430/329,652 = 329,652/x
  3. Step 3: Cross multiply
    218,430x = 329,652 × 329,652
  4. Step 4: Simplify right side
    218,430x = 108,670,441,104
  5. Step 5: Solve for x
    x = 108,670,441,104/218,430
  6. Step 6: Final answer
    x = 497,506.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.