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Finding the Third Proportional to 238,611 and 322,900.50

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Solution

The third proportional to 238,611 and 322,900.50 is: 436,965.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,611 : 322,900.50 = 322,900.50 : x
  2. Step 2: Convert to fraction form
    238,611/322,900.50 = 322,900.50/x
  3. Step 3: Cross multiply
    238,611x = 322,900.50 × 322,900.50
  4. Step 4: Simplify right side
    238,611x = 104,264,732,900.25
  5. Step 5: Solve for x
    x = 104,264,732,900.25/238,611
  6. Step 6: Final answer
    x = 436,965.32

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.