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Finding the Third Proportional to 248,906 and 546,196

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Solution

The third proportional to 248,906 and 546,196 is: 1,198,565.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,906 : 546,196 = 546,196 : x
  2. Step 2: Convert to fraction form
    248,906/546,196 = 546,196/x
  3. Step 3: Cross multiply
    248,906x = 546,196 × 546,196
  4. Step 4: Simplify right side
    248,906x = 298,330,070,416
  5. Step 5: Solve for x
    x = 298,330,070,416/248,906
  6. Step 6: Final answer
    x = 1,198,565.20

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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.