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Finding the Third Proportional to 212,798 and 450,184

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Solution

The third proportional to 212,798 and 450,184 is: 952,385.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,798 : 450,184 = 450,184 : x
  2. Step 2: Convert to fraction form
    212,798/450,184 = 450,184/x
  3. Step 3: Cross multiply
    212,798x = 450,184 × 450,184
  4. Step 4: Simplify right side
    212,798x = 202,665,633,856
  5. Step 5: Solve for x
    x = 202,665,633,856/212,798
  6. Step 6: Final answer
    x = 952,385.05

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.