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Finding the Third Proportional to 119,919 and 257,981.25

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Solution

The third proportional to 119,919 and 257,981.25 is: 554,994.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,919 : 257,981.25 = 257,981.25 : x
  2. Step 2: Convert to fraction form
    119,919/257,981.25 = 257,981.25/x
  3. Step 3: Cross multiply
    119,919x = 257,981.25 × 257,981.25
  4. Step 4: Simplify right side
    119,919x = 66,554,325,351.56
  5. Step 5: Solve for x
    x = 66,554,325,351.56/119,919
  6. Step 6: Final answer
    x = 554,994.00

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.