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Finding the Third Proportional to 185,290 and 404,036

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Solution

The third proportional to 185,290 and 404,036 is: 881,024.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,290 : 404,036 = 404,036 : x
  2. Step 2: Convert to fraction form
    185,290/404,036 = 404,036/x
  3. Step 3: Cross multiply
    185,290x = 404,036 × 404,036
  4. Step 4: Simplify right side
    185,290x = 163,245,089,296
  5. Step 5: Solve for x
    x = 163,245,089,296/185,290
  6. Step 6: Final answer
    x = 881,024.82

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Why These Related Problems?

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