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Finding the Third Proportional to 173,631 and 368,578.50

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Solution

The third proportional to 173,631 and 368,578.50 is: 782,407.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,631 : 368,578.50 = 368,578.50 : x
  2. Step 2: Convert to fraction form
    173,631/368,578.50 = 368,578.50/x
  3. Step 3: Cross multiply
    173,631x = 368,578.50 × 368,578.50
  4. Step 4: Simplify right side
    173,631x = 135,850,110,662.25
  5. Step 5: Solve for x
    x = 135,850,110,662.25/173,631
  6. Step 6: Final answer
    x = 782,407.00

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.