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Finding the Third Proportional to 134,496 and 188,491.50

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Solution

The third proportional to 134,496 and 188,491.50 is: 264,164.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,496 : 188,491.50 = 188,491.50 : x
  2. Step 2: Convert to fraction form
    134,496/188,491.50 = 188,491.50/x
  3. Step 3: Cross multiply
    134,496x = 188,491.50 × 188,491.50
  4. Step 4: Simplify right side
    134,496x = 35,529,045,572.25
  5. Step 5: Solve for x
    x = 35,529,045,572.25/134,496
  6. Step 6: Final answer
    x = 264,164.33

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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.