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Finding the Third Proportional to 83,315 and 179,938

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Solution

The third proportional to 83,315 and 179,938 is: 388,617.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,315 : 179,938 = 179,938 : x
  2. Step 2: Convert to fraction form
    83,315/179,938 = 179,938/x
  3. Step 3: Cross multiply
    83,315x = 179,938 × 179,938
  4. Step 4: Simplify right side
    83,315x = 32,377,683,844
  5. Step 5: Solve for x
    x = 32,377,683,844/83,315
  6. Step 6: Final answer
    x = 388,617.70

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.