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Finding the Third Proportional to 152,388 and 330,984

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Solution

The third proportional to 152,388 and 330,984 is: 718,891.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,388 : 330,984 = 330,984 : x
  2. Step 2: Convert to fraction form
    152,388/330,984 = 330,984/x
  3. Step 3: Cross multiply
    152,388x = 330,984 × 330,984
  4. Step 4: Simplify right side
    152,388x = 109,550,408,256
  5. Step 5: Solve for x
    x = 109,550,408,256/152,388
  6. Step 6: Final answer
    x = 718,891.31

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.