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Finding the Third Proportional to 103,887 and 224,176

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Solution

The third proportional to 103,887 and 224,176 is: 483,745.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,887 : 224,176 = 224,176 : x
  2. Step 2: Convert to fraction form
    103,887/224,176 = 224,176/x
  3. Step 3: Cross multiply
    103,887x = 224,176 × 224,176
  4. Step 4: Simplify right side
    103,887x = 50,254,878,976
  5. Step 5: Solve for x
    x = 50,254,878,976/103,887
  6. Step 6: Final answer
    x = 483,745.60

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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.