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Finding the Third Proportional to 150,507 and 326,925

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Solution

The third proportional to 150,507 and 326,925 is: 710,132.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,507 : 326,925 = 326,925 : x
  2. Step 2: Convert to fraction form
    150,507/326,925 = 326,925/x
  3. Step 3: Cross multiply
    150,507x = 326,925 × 326,925
  4. Step 4: Simplify right side
    150,507x = 106,879,955,625
  5. Step 5: Solve for x
    x = 106,879,955,625/150,507
  6. Step 6: Final answer
    x = 710,132.79

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.