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Finding the Third Proportional to 78,798 and 182,229

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Solution

The third proportional to 78,798 and 182,229 is: 421,424.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,798 : 182,229 = 182,229 : x
  2. Step 2: Convert to fraction form
    78,798/182,229 = 182,229/x
  3. Step 3: Cross multiply
    78,798x = 182,229 × 182,229
  4. Step 4: Simplify right side
    78,798x = 33,207,408,441
  5. Step 5: Solve for x
    x = 33,207,408,441/78,798
  6. Step 6: Final answer
    x = 421,424.51

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.