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Finding the Third Proportional to 185,688 and 399,312

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Solution

The third proportional to 185,688 and 399,312 is: 858,698.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,688 : 399,312 = 399,312 : x
  2. Step 2: Convert to fraction form
    185,688/399,312 = 399,312/x
  3. Step 3: Cross multiply
    185,688x = 399,312 × 399,312
  4. Step 4: Simplify right side
    185,688x = 159,450,073,344
  5. Step 5: Solve for x
    x = 159,450,073,344/185,688
  6. Step 6: Final answer
    x = 858,698.86

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.