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Finding the Third Proportional to 207,238 and 304,056

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Solution

The third proportional to 207,238 and 304,056 is: 446,105.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,238 : 304,056 = 304,056 : x
  2. Step 2: Convert to fraction form
    207,238/304,056 = 304,056/x
  3. Step 3: Cross multiply
    207,238x = 304,056 × 304,056
  4. Step 4: Simplify right side
    207,238x = 92,450,051,136
  5. Step 5: Solve for x
    x = 92,450,051,136/207,238
  6. Step 6: Final answer
    x = 446,105.69

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.