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Finding the Third Proportional to 175,999.50 and 373,813.50

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Solution

The third proportional to 175,999.50 and 373,813.50 is: 793,959.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,999.50 : 373,813.50 = 373,813.50 : x
  2. Step 2: Convert to fraction form
    175,999.50/373,813.50 = 373,813.50/x
  3. Step 3: Cross multiply
    175,999.50x = 373,813.50 × 373,813.50
  4. Step 4: Simplify right side
    175,999.50x = 139,736,532,782.25
  5. Step 5: Solve for x
    x = 139,736,532,782.25/175,999.50
  6. Step 6: Final answer
    x = 793,959.83

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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.