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Finding the Third Proportional to 188,368.50 and 282,553.50

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Solution

The third proportional to 188,368.50 and 282,553.50 is: 423,831.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,368.50 : 282,553.50 = 282,553.50 : x
  2. Step 2: Convert to fraction form
    188,368.50/282,553.50 = 282,553.50/x
  3. Step 3: Cross multiply
    188,368.50x = 282,553.50 × 282,553.50
  4. Step 4: Simplify right side
    188,368.50x = 79,836,480,362.25
  5. Step 5: Solve for x
    x = 79,836,480,362.25/188,368.50
  6. Step 6: Final answer
    x = 423,831.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.