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Finding the Third Proportional to 251,973 and 363,055.50

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Solution

The third proportional to 251,973 and 363,055.50 is: 523,108.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,973 : 363,055.50 = 363,055.50 : x
  2. Step 2: Convert to fraction form
    251,973/363,055.50 = 363,055.50/x
  3. Step 3: Cross multiply
    251,973x = 363,055.50 × 363,055.50
  4. Step 4: Simplify right side
    251,973x = 131,809,296,080.25
  5. Step 5: Solve for x
    x = 131,809,296,080.25/251,973
  6. Step 6: Final answer
    x = 523,108.81

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.