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Finding the Third Proportional to 65,628 and 143,284.50

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Solution

The third proportional to 65,628 and 143,284.50 is: 312,830.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,628 : 143,284.50 = 143,284.50 : x
  2. Step 2: Convert to fraction form
    65,628/143,284.50 = 143,284.50/x
  3. Step 3: Cross multiply
    65,628x = 143,284.50 × 143,284.50
  4. Step 4: Simplify right side
    65,628x = 20,530,447,940.25
  5. Step 5: Solve for x
    x = 20,530,447,940.25/65,628
  6. Step 6: Final answer
    x = 312,830.62

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.