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Finding the Third Proportional to 180,170 and 417,046

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Solution

The third proportional to 180,170 and 417,046 is: 965,351.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,170 : 417,046 = 417,046 : x
  2. Step 2: Convert to fraction form
    180,170/417,046 = 417,046/x
  3. Step 3: Cross multiply
    180,170x = 417,046 × 417,046
  4. Step 4: Simplify right side
    180,170x = 173,927,366,116
  5. Step 5: Solve for x
    x = 173,927,366,116/180,170
  6. Step 6: Final answer
    x = 965,351.42

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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.