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Finding the Third Proportional to 231,427.69 and 307,080

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Solution

The third proportional to 231,427.69 and 307,080 is: 407,462.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,427.69 : 307,080 = 307,080 : x
  2. Step 2: Convert to fraction form
    231,427.69/307,080 = 307,080/x
  3. Step 3: Cross multiply
    231,427.69x = 307,080 × 307,080
  4. Step 4: Simplify right side
    231,427.69x = 94,298,126,400
  5. Step 5: Solve for x
    x = 94,298,126,400/231,427.69
  6. Step 6: Final answer
    x = 407,462.60

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.