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Finding the Third Proportional to 180,000 and 416,712

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Solution

The third proportional to 180,000 and 416,712 is: 964,716.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,000 : 416,712 = 416,712 : x
  2. Step 2: Convert to fraction form
    180,000/416,712 = 416,712/x
  3. Step 3: Cross multiply
    180,000x = 416,712 × 416,712
  4. Step 4: Simplify right side
    180,000x = 173,648,890,944
  5. Step 5: Solve for x
    x = 173,648,890,944/180,000
  6. Step 6: Final answer
    x = 964,716.06

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.