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Finding the Third Proportional to 185,314.50 and 404,611.50

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Solution

The third proportional to 185,314.50 and 404,611.50 is: 883,419.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,314.50 : 404,611.50 = 404,611.50 : x
  2. Step 2: Convert to fraction form
    185,314.50/404,611.50 = 404,611.50/x
  3. Step 3: Cross multiply
    185,314.50x = 404,611.50 × 404,611.50
  4. Step 4: Simplify right side
    185,314.50x = 163,710,465,932.25
  5. Step 5: Solve for x
    x = 163,710,465,932.25/185,314.50
  6. Step 6: Final answer
    x = 883,419.62

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.