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Finding the Third Proportional to 180,258.75 and 417,285

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Solution

The third proportional to 180,258.75 and 417,285 is: 965,982.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,258.75 : 417,285 = 417,285 : x
  2. Step 2: Convert to fraction form
    180,258.75/417,285 = 417,285/x
  3. Step 3: Cross multiply
    180,258.75x = 417,285 × 417,285
  4. Step 4: Simplify right side
    180,258.75x = 174,126,771,225
  5. Step 5: Solve for x
    x = 174,126,771,225/180,258.75
  6. Step 6: Final answer
    x = 965,982.35

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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.