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Finding the Third Proportional to 143,349.75 and 200,498.63

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Solution

The third proportional to 143,349.75 and 200,498.63 is: 280,430.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,349.75 : 200,498.63 = 200,498.63 : x
  2. Step 2: Convert to fraction form
    143,349.75/200,498.63 = 200,498.63/x
  3. Step 3: Cross multiply
    143,349.75x = 200,498.63 × 200,498.63
  4. Step 4: Simplify right side
    143,349.75x = 40,199,698,626.89
  5. Step 5: Solve for x
    x = 40,199,698,626.89/143,349.75
  6. Step 6: Final answer
    x = 280,430.89

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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.