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Finding the Third Proportional to 222,037.88 and 343,666.97

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Solution

The third proportional to 222,037.88 and 343,666.97 is: 531,922.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,037.88 : 343,666.97 = 343,666.97 : x
  2. Step 2: Convert to fraction form
    222,037.88/343,666.97 = 343,666.97/x
  3. Step 3: Cross multiply
    222,037.88x = 343,666.97 × 343,666.97
  4. Step 4: Simplify right side
    222,037.88x = 118,106,985,409.81
  5. Step 5: Solve for x
    x = 118,106,985,409.81/222,037.88
  6. Step 6: Final answer
    x = 531,922.70

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.