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Finding the Third Proportional to 148,852 and 212,208

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Solution

The third proportional to 148,852 and 212,208 is: 302,530.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,852 : 212,208 = 212,208 : x
  2. Step 2: Convert to fraction form
    148,852/212,208 = 212,208/x
  3. Step 3: Cross multiply
    148,852x = 212,208 × 212,208
  4. Step 4: Simplify right side
    148,852x = 45,032,235,264
  5. Step 5: Solve for x
    x = 45,032,235,264/148,852
  6. Step 6: Final answer
    x = 302,530.27

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.