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Finding the Third Proportional to 150,925.50 and 319,837.50

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Solution

The third proportional to 150,925.50 and 319,837.50 is: 677,791.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,925.50 : 319,837.50 = 319,837.50 : x
  2. Step 2: Convert to fraction form
    150,925.50/319,837.50 = 319,837.50/x
  3. Step 3: Cross multiply
    150,925.50x = 319,837.50 × 319,837.50
  4. Step 4: Simplify right side
    150,925.50x = 102,296,026,406.25
  5. Step 5: Solve for x
    x = 102,296,026,406.25/150,925.50
  6. Step 6: Final answer
    x = 677,791.54

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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.