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Finding the Third Proportional to 174,294 and 377,895

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Solution

The third proportional to 174,294 and 377,895 is: 819,331.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,294 : 377,895 = 377,895 : x
  2. Step 2: Convert to fraction form
    174,294/377,895 = 377,895/x
  3. Step 3: Cross multiply
    174,294x = 377,895 × 377,895
  4. Step 4: Simplify right side
    174,294x = 142,804,631,025
  5. Step 5: Solve for x
    x = 142,804,631,025/174,294
  6. Step 6: Final answer
    x = 819,331.88

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.