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Finding the Third Proportional to 222,685 and 344,955

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Solution

The third proportional to 222,685 and 344,955 is: 534,359.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,685 : 344,955 = 344,955 : x
  2. Step 2: Convert to fraction form
    222,685/344,955 = 344,955/x
  3. Step 3: Cross multiply
    222,685x = 344,955 × 344,955
  4. Step 4: Simplify right side
    222,685x = 118,993,952,025
  5. Step 5: Solve for x
    x = 118,993,952,025/222,685
  6. Step 6: Final answer
    x = 534,359.98

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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.