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Finding the Third Proportional to 186,990 and 294,093

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Solution

The third proportional to 186,990 and 294,093 is: 462,541.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,990 : 294,093 = 294,093 : x
  2. Step 2: Convert to fraction form
    186,990/294,093 = 294,093/x
  3. Step 3: Cross multiply
    186,990x = 294,093 × 294,093
  4. Step 4: Simplify right side
    186,990x = 86,490,692,649
  5. Step 5: Solve for x
    x = 86,490,692,649/186,990
  6. Step 6: Final answer
    x = 462,541.81

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.