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Finding the Third Proportional to 228,099 and 333,482

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Solution

The third proportional to 228,099 and 333,482 is: 487,552.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,099 : 333,482 = 333,482 : x
  2. Step 2: Convert to fraction form
    228,099/333,482 = 333,482/x
  3. Step 3: Cross multiply
    228,099x = 333,482 × 333,482
  4. Step 4: Simplify right side
    228,099x = 111,210,244,324
  5. Step 5: Solve for x
    x = 111,210,244,324/228,099
  6. Step 6: Final answer
    x = 487,552.53

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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.