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Finding the Third Proportional to 180,258 and 417,286

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Solution

The third proportional to 180,258 and 417,286 is: 965,991.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,258 : 417,286 = 417,286 : x
  2. Step 2: Convert to fraction form
    180,258/417,286 = 417,286/x
  3. Step 3: Cross multiply
    180,258x = 417,286 × 417,286
  4. Step 4: Simplify right side
    180,258x = 174,127,605,796
  5. Step 5: Solve for x
    x = 174,127,605,796/180,258
  6. Step 6: Final answer
    x = 965,991.00

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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.