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Finding the Third Proportional to 155,902 and 228,020

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Solution

The third proportional to 155,902 and 228,020 is: 333,498.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,902 : 228,020 = 228,020 : x
  2. Step 2: Convert to fraction form
    155,902/228,020 = 228,020/x
  3. Step 3: Cross multiply
    155,902x = 228,020 × 228,020
  4. Step 4: Simplify right side
    155,902x = 51,993,120,400
  5. Step 5: Solve for x
    x = 51,993,120,400/155,902
  6. Step 6: Final answer
    x = 333,498.74

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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.