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Finding the Third Proportional to 114,463.50 and 168,270

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Solution

The third proportional to 114,463.50 and 168,270 is: 247,369.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,463.50 : 168,270 = 168,270 : x
  2. Step 2: Convert to fraction form
    114,463.50/168,270 = 168,270/x
  3. Step 3: Cross multiply
    114,463.50x = 168,270 × 168,270
  4. Step 4: Simplify right side
    114,463.50x = 28,314,792,900
  5. Step 5: Solve for x
    x = 28,314,792,900/114,463.50
  6. Step 6: Final answer
    x = 247,369.62

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.