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Finding the Third Proportional to 192,643.31 and 306,801.84

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Solution

The third proportional to 192,643.31 and 306,801.84 is: 488,609.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,643.31 : 306,801.84 = 306,801.84 : x
  2. Step 2: Convert to fraction form
    192,643.31/306,801.84 = 306,801.84/x
  3. Step 3: Cross multiply
    192,643.31x = 306,801.84 × 306,801.84
  4. Step 4: Simplify right side
    192,643.31x = 94,127,371,328.40
  5. Step 5: Solve for x
    x = 94,127,371,328.40/192,643.31
  6. Step 6: Final answer
    x = 488,609.60

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