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Finding the Third Proportional to 338,176 and 506,194

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Solution

The third proportional to 338,176 and 506,194 is: 757,689.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,176 : 506,194 = 506,194 : x
  2. Step 2: Convert to fraction form
    338,176/506,194 = 506,194/x
  3. Step 3: Cross multiply
    338,176x = 506,194 × 506,194
  4. Step 4: Simplify right side
    338,176x = 256,232,365,636
  5. Step 5: Solve for x
    x = 256,232,365,636/338,176
  6. Step 6: Final answer
    x = 757,689.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.