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Finding the Third Proportional to 143,259.75 and 302,199.75

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Solution

The third proportional to 143,259.75 and 302,199.75 is: 637,476.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,259.75 : 302,199.75 = 302,199.75 : x
  2. Step 2: Convert to fraction form
    143,259.75/302,199.75 = 302,199.75/x
  3. Step 3: Cross multiply
    143,259.75x = 302,199.75 × 302,199.75
  4. Step 4: Simplify right side
    143,259.75x = 91,324,688,900.06
  5. Step 5: Solve for x
    x = 91,324,688,900.06/143,259.75
  6. Step 6: Final answer
    x = 637,476.25

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.