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Finding the Third Proportional to 155,551 and 228,223

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Solution

The third proportional to 155,551 and 228,223 is: 334,846.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,551 : 228,223 = 228,223 : x
  2. Step 2: Convert to fraction form
    155,551/228,223 = 228,223/x
  3. Step 3: Cross multiply
    155,551x = 228,223 × 228,223
  4. Step 4: Simplify right side
    155,551x = 52,085,737,729
  5. Step 5: Solve for x
    x = 52,085,737,729/155,551
  6. Step 6: Final answer
    x = 334,846.69

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.