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Finding the Third Proportional to 174,217 and 245,343

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Solution

The third proportional to 174,217 and 245,343 is: 345,506.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,217 : 245,343 = 245,343 : x
  2. Step 2: Convert to fraction form
    174,217/245,343 = 245,343/x
  3. Step 3: Cross multiply
    174,217x = 245,343 × 245,343
  4. Step 4: Simplify right side
    174,217x = 60,193,187,649
  5. Step 5: Solve for x
    x = 60,193,187,649/174,217
  6. Step 6: Final answer
    x = 345,506.97

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.