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Finding the Third Proportional to 155,888 and 228,277

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Solution

The third proportional to 155,888 and 228,277 is: 334,280.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,888 : 228,277 = 228,277 : x
  2. Step 2: Convert to fraction form
    155,888/228,277 = 228,277/x
  3. Step 3: Cross multiply
    155,888x = 228,277 × 228,277
  4. Step 4: Simplify right side
    155,888x = 52,110,388,729
  5. Step 5: Solve for x
    x = 52,110,388,729/155,888
  6. Step 6: Final answer
    x = 334,280.95

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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.