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Finding the Third Proportional to 150,423.75 and 211,649.63

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Solution

The third proportional to 150,423.75 and 211,649.63 is: 297,795.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,423.75 : 211,649.63 = 211,649.63 : x
  2. Step 2: Convert to fraction form
    150,423.75/211,649.63 = 211,649.63/x
  3. Step 3: Cross multiply
    150,423.75x = 211,649.63 × 211,649.63
  4. Step 4: Simplify right side
    150,423.75x = 44,795,563,762.64
  5. Step 5: Solve for x
    x = 44,795,563,762.64/150,423.75
  6. Step 6: Final answer
    x = 297,795.82

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.