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Finding the Third Proportional to 143,238 and 302,163

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Solution

The third proportional to 143,238 and 302,163 is: 637,417.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,238 : 302,163 = 302,163 : x
  2. Step 2: Convert to fraction form
    143,238/302,163 = 302,163/x
  3. Step 3: Cross multiply
    143,238x = 302,163 × 302,163
  4. Step 4: Simplify right side
    143,238x = 91,302,478,569
  5. Step 5: Solve for x
    x = 91,302,478,569/143,238
  6. Step 6: Final answer
    x = 637,417.99

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Why These Related Problems?

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