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Finding the Third Proportional to 151,314 and 325,969

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Solution

The third proportional to 151,314 and 325,969 is: 702,220.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,314 : 325,969 = 325,969 : x
  2. Step 2: Convert to fraction form
    151,314/325,969 = 325,969/x
  3. Step 3: Cross multiply
    151,314x = 325,969 × 325,969
  4. Step 4: Simplify right side
    151,314x = 106,255,788,961
  5. Step 5: Solve for x
    x = 106,255,788,961/151,314
  6. Step 6: Final answer
    x = 702,220.48

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.