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Finding the Third Proportional to 151,546 and 234,502

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Solution

The third proportional to 151,546 and 234,502 is: 362,867.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,546 : 234,502 = 234,502 : x
  2. Step 2: Convert to fraction form
    151,546/234,502 = 234,502/x
  3. Step 3: Cross multiply
    151,546x = 234,502 × 234,502
  4. Step 4: Simplify right side
    151,546x = 54,991,188,004
  5. Step 5: Solve for x
    x = 54,991,188,004/151,546
  6. Step 6: Final answer
    x = 362,867.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.