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Finding the Third Proportional to 155,923 and 228,052

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Solution

The third proportional to 155,923 and 228,052 is: 333,547.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,923 : 228,052 = 228,052 : x
  2. Step 2: Convert to fraction form
    155,923/228,052 = 228,052/x
  3. Step 3: Cross multiply
    155,923x = 228,052 × 228,052
  4. Step 4: Simplify right side
    155,923x = 52,007,714,704
  5. Step 5: Solve for x
    x = 52,007,714,704/155,923
  6. Step 6: Final answer
    x = 333,547.42

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.