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Finding the Third Proportional to 176,218.88 and 283,738.15

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Solution

The third proportional to 176,218.88 and 283,738.15 is: 456,859.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,218.88 : 283,738.15 = 283,738.15 : x
  2. Step 2: Convert to fraction form
    176,218.88/283,738.15 = 283,738.15/x
  3. Step 3: Cross multiply
    176,218.88x = 283,738.15 × 283,738.15
  4. Step 4: Simplify right side
    176,218.88x = 80,507,336,878.74
  5. Step 5: Solve for x
    x = 80,507,336,878.74/176,218.88
  6. Step 6: Final answer
    x = 456,859.90

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.