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Finding the Third Proportional to 245,201.63 and 517,025.25

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Solution

The third proportional to 245,201.63 and 517,025.25 is: 1,090,184.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,201.63 : 517,025.25 = 517,025.25 : x
  2. Step 2: Convert to fraction form
    245,201.63/517,025.25 = 517,025.25/x
  3. Step 3: Cross multiply
    245,201.63x = 517,025.25 × 517,025.25
  4. Step 4: Simplify right side
    245,201.63x = 267,315,109,137.56
  5. Step 5: Solve for x
    x = 267,315,109,137.56/245,201.63
  6. Step 6: Final answer
    x = 1,090,184.90

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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.