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Finding the Third Proportional to 102,798 and 219,168

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Solution

The third proportional to 102,798 and 219,168 is: 467,271.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,798 : 219,168 = 219,168 : x
  2. Step 2: Convert to fraction form
    102,798/219,168 = 219,168/x
  3. Step 3: Cross multiply
    102,798x = 219,168 × 219,168
  4. Step 4: Simplify right side
    102,798x = 48,034,612,224
  5. Step 5: Solve for x
    x = 48,034,612,224/102,798
  6. Step 6: Final answer
    x = 467,271.86

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.