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Finding the Third Proportional to 245,200.50 and 517,023

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Solution

The third proportional to 245,200.50 and 517,023 is: 1,090,180.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,200.50 : 517,023 = 517,023 : x
  2. Step 2: Convert to fraction form
    245,200.50/517,023 = 517,023/x
  3. Step 3: Cross multiply
    245,200.50x = 517,023 × 517,023
  4. Step 4: Simplify right side
    245,200.50x = 267,312,782,529
  5. Step 5: Solve for x
    x = 267,312,782,529/245,200.50
  6. Step 6: Final answer
    x = 1,090,180.41

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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.