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Finding the Third Proportional to 192,156 and 306,970.50

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Solution

The third proportional to 192,156 and 306,970.50 is: 490,387.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,156 : 306,970.50 = 306,970.50 : x
  2. Step 2: Convert to fraction form
    192,156/306,970.50 = 306,970.50/x
  3. Step 3: Cross multiply
    192,156x = 306,970.50 × 306,970.50
  4. Step 4: Simplify right side
    192,156x = 94,230,887,870.25
  5. Step 5: Solve for x
    x = 94,230,887,870.25/192,156
  6. Step 6: Final answer
    x = 490,387.43

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.