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Finding the Third Proportional to 192,670.50 and 306,842.25

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Solution

The third proportional to 192,670.50 and 306,842.25 is: 488,669.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,670.50 : 306,842.25 = 306,842.25 : x
  2. Step 2: Convert to fraction form
    192,670.50/306,842.25 = 306,842.25/x
  3. Step 3: Cross multiply
    192,670.50x = 306,842.25 × 306,842.25
  4. Step 4: Simplify right side
    192,670.50x = 94,152,166,385.06
  5. Step 5: Solve for x
    x = 94,152,166,385.06/192,670.50
  6. Step 6: Final answer
    x = 488,669.34

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.