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Finding the Third Proportional to 248,900 and 546,184

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Solution

The third proportional to 248,900 and 546,184 is: 1,198,541.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,900 : 546,184 = 546,184 : x
  2. Step 2: Convert to fraction form
    248,900/546,184 = 546,184/x
  3. Step 3: Cross multiply
    248,900x = 546,184 × 546,184
  4. Step 4: Simplify right side
    248,900x = 298,316,961,856
  5. Step 5: Solve for x
    x = 298,316,961,856/248,900
  6. Step 6: Final answer
    x = 1,198,541.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.