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Finding the Third Proportional to 143,661 and 227,368.50

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Solution

The third proportional to 143,661 and 227,368.50 is: 359,850.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,661 : 227,368.50 = 227,368.50 : x
  2. Step 2: Convert to fraction form
    143,661/227,368.50 = 227,368.50/x
  3. Step 3: Cross multiply
    143,661x = 227,368.50 × 227,368.50
  4. Step 4: Simplify right side
    143,661x = 51,696,434,792.25
  5. Step 5: Solve for x
    x = 51,696,434,792.25/143,661
  6. Step 6: Final answer
    x = 359,850.17

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.