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Finding the Third Proportional to 254,071.69 and 344,890.69

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Solution

The third proportional to 254,071.69 and 344,890.69 is: 468,173.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,071.69 : 344,890.69 = 344,890.69 : x
  2. Step 2: Convert to fraction form
    254,071.69/344,890.69 = 344,890.69/x
  3. Step 3: Cross multiply
    254,071.69x = 344,890.69 × 344,890.69
  4. Step 4: Simplify right side
    254,071.69x = 118,949,586,324.22
  5. Step 5: Solve for x
    x = 118,949,586,324.22/254,071.69
  6. Step 6: Final answer
    x = 468,173.32

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.