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Finding the Third Proportional to 180,160 and 417,026

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Solution

The third proportional to 180,160 and 417,026 is: 965,312.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,160 : 417,026 = 417,026 : x
  2. Step 2: Convert to fraction form
    180,160/417,026 = 417,026/x
  3. Step 3: Cross multiply
    180,160x = 417,026 × 417,026
  4. Step 4: Simplify right side
    180,160x = 173,910,684,676
  5. Step 5: Solve for x
    x = 173,910,684,676/180,160
  6. Step 6: Final answer
    x = 965,312.41

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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.