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Finding the Third Proportional to 191,506.50 and 268,356

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Solution

The third proportional to 191,506.50 and 268,356 is: 376,044.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,506.50 : 268,356 = 268,356 : x
  2. Step 2: Convert to fraction form
    191,506.50/268,356 = 268,356/x
  3. Step 3: Cross multiply
    191,506.50x = 268,356 × 268,356
  4. Step 4: Simplify right side
    191,506.50x = 72,014,942,736
  5. Step 5: Solve for x
    x = 72,014,942,736/191,506.50
  6. Step 6: Final answer
    x = 376,044.38

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.