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Finding the Third Proportional to 151,994.81 and 330,744.94

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Solution

The third proportional to 151,994.81 and 330,744.94 is: 719,710.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,994.81 : 330,744.94 = 330,744.94 : x
  2. Step 2: Convert to fraction form
    151,994.81/330,744.94 = 330,744.94/x
  3. Step 3: Cross multiply
    151,994.81x = 330,744.94 × 330,744.94
  4. Step 4: Simplify right side
    151,994.81x = 109,392,213,681.88
  5. Step 5: Solve for x
    x = 109,392,213,681.88/151,994.81
  6. Step 6: Final answer
    x = 719,710.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.