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Finding the Third Proportional to 212,554.50 and 449,101.50

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Solution

The third proportional to 212,554.50 and 449,101.50 is: 948,896.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,554.50 : 449,101.50 = 449,101.50 : x
  2. Step 2: Convert to fraction form
    212,554.50/449,101.50 = 449,101.50/x
  3. Step 3: Cross multiply
    212,554.50x = 449,101.50 × 449,101.50
  4. Step 4: Simplify right side
    212,554.50x = 201,692,157,302.25
  5. Step 5: Solve for x
    x = 201,692,157,302.25/212,554.50
  6. Step 6: Final answer
    x = 948,896.20

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.