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Finding the Third Proportional to 147,851 and 226,211

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Solution

The third proportional to 147,851 and 226,211 is: 346,101.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,851 : 226,211 = 226,211 : x
  2. Step 2: Convert to fraction form
    147,851/226,211 = 226,211/x
  3. Step 3: Cross multiply
    147,851x = 226,211 × 226,211
  4. Step 4: Simplify right side
    147,851x = 51,171,416,521
  5. Step 5: Solve for x
    x = 51,171,416,521/147,851
  6. Step 6: Final answer
    x = 346,101.25

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.