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Finding the Third Proportional to 212,551.50 and 449,095.50

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Solution

The third proportional to 212,551.50 and 449,095.50 is: 948,884.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,551.50 : 449,095.50 = 449,095.50 : x
  2. Step 2: Convert to fraction form
    212,551.50/449,095.50 = 449,095.50/x
  3. Step 3: Cross multiply
    212,551.50x = 449,095.50 × 449,095.50
  4. Step 4: Simplify right side
    212,551.50x = 201,686,768,120.25
  5. Step 5: Solve for x
    x = 201,686,768,120.25/212,551.50
  6. Step 6: Final answer
    x = 948,884.24

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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.