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Finding the Third Proportional to 173,846 and 373,689

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Solution

The third proportional to 173,846 and 373,689 is: 803,259.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,846 : 373,689 = 373,689 : x
  2. Step 2: Convert to fraction form
    173,846/373,689 = 373,689/x
  3. Step 3: Cross multiply
    173,846x = 373,689 × 373,689
  4. Step 4: Simplify right side
    173,846x = 139,643,468,721
  5. Step 5: Solve for x
    x = 139,643,468,721/173,846
  6. Step 6: Final answer
    x = 803,259.60

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.