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Finding the Third Proportional to 155,998 and 228,146

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Solution

The third proportional to 155,998 and 228,146 is: 333,661.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,998 : 228,146 = 228,146 : x
  2. Step 2: Convert to fraction form
    155,998/228,146 = 228,146/x
  3. Step 3: Cross multiply
    155,998x = 228,146 × 228,146
  4. Step 4: Simplify right side
    155,998x = 52,050,597,316
  5. Step 5: Solve for x
    x = 52,050,597,316/155,998
  6. Step 6: Final answer
    x = 333,661.95

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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.