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Finding the Third Proportional to 144,296.44 and 257,428.13

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Solution

The third proportional to 144,296.44 and 257,428.13 is: 459,257.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,296.44 : 257,428.13 = 257,428.13 : x
  2. Step 2: Convert to fraction form
    144,296.44/257,428.13 = 257,428.13/x
  3. Step 3: Cross multiply
    144,296.44x = 257,428.13 × 257,428.13
  4. Step 4: Simplify right side
    144,296.44x = 66,269,239,541.02
  5. Step 5: Solve for x
    x = 66,269,239,541.02/144,296.44
  6. Step 6: Final answer
    x = 459,257.63

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.