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Finding the Third Proportional to 152,994 and 233,874

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Solution

The third proportional to 152,994 and 233,874 is: 357,511.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,994 : 233,874 = 233,874 : x
  2. Step 2: Convert to fraction form
    152,994/233,874 = 233,874/x
  3. Step 3: Cross multiply
    152,994x = 233,874 × 233,874
  4. Step 4: Simplify right side
    152,994x = 54,697,047,876
  5. Step 5: Solve for x
    x = 54,697,047,876/152,994
  6. Step 6: Final answer
    x = 357,511.06

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.