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Finding the Third Proportional to 153,927.21 and 300,396.41

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Solution

The third proportional to 153,927.21 and 300,396.41 is: 586,238.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,927.21 : 300,396.41 = 300,396.41 : x
  2. Step 2: Convert to fraction form
    153,927.21/300,396.41 = 300,396.41/x
  3. Step 3: Cross multiply
    153,927.21x = 300,396.41 × 300,396.41
  4. Step 4: Simplify right side
    153,927.21x = 90,238,003,234.76
  5. Step 5: Solve for x
    x = 90,238,003,234.76/153,927.21
  6. Step 6: Final answer
    x = 586,238.15

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.