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Finding the Third Proportional to 223,850 and 483,152

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Solution

The third proportional to 223,850 and 483,152 is: 1,042,822.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,850 : 483,152 = 483,152 : x
  2. Step 2: Convert to fraction form
    223,850/483,152 = 483,152/x
  3. Step 3: Cross multiply
    223,850x = 483,152 × 483,152
  4. Step 4: Simplify right side
    223,850x = 233,435,855,104
  5. Step 5: Solve for x
    x = 233,435,855,104/223,850
  6. Step 6: Final answer
    x = 1,042,822.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.