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Finding the Third Proportional to 180,257.25 and 417,284.25

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Solution

The third proportional to 180,257.25 and 417,284.25 is: 965,986.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,257.25 : 417,284.25 = 417,284.25 : x
  2. Step 2: Convert to fraction form
    180,257.25/417,284.25 = 417,284.25/x
  3. Step 3: Cross multiply
    180,257.25x = 417,284.25 × 417,284.25
  4. Step 4: Simplify right side
    180,257.25x = 174,126,145,298.06
  5. Step 5: Solve for x
    x = 174,126,145,298.06/180,257.25
  6. Step 6: Final answer
    x = 965,986.92

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.