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Finding the Third Proportional to 238,869 and 302,808.38

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Solution

The third proportional to 238,869 and 302,808.38 is: 383,862.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,869 : 302,808.38 = 302,808.38 : x
  2. Step 2: Convert to fraction form
    238,869/302,808.38 = 302,808.38/x
  3. Step 3: Cross multiply
    238,869x = 302,808.38 × 302,808.38
  4. Step 4: Simplify right side
    238,869x = 91,692,911,970.14
  5. Step 5: Solve for x
    x = 91,692,911,970.14/238,869
  6. Step 6: Final answer
    x = 383,862.75

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.