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Finding the Third Proportional to 116,994 and 182,323

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Solution

The third proportional to 116,994 and 182,323 is: 284,131.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,994 : 182,323 = 182,323 : x
  2. Step 2: Convert to fraction form
    116,994/182,323 = 182,323/x
  3. Step 3: Cross multiply
    116,994x = 182,323 × 182,323
  4. Step 4: Simplify right side
    116,994x = 33,241,676,329
  5. Step 5: Solve for x
    x = 33,241,676,329/116,994
  6. Step 6: Final answer
    x = 284,131.46

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.