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Finding the Third Proportional to 180,152 and 417,062

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Solution

The third proportional to 180,152 and 417,062 is: 965,521.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,152 : 417,062 = 417,062 : x
  2. Step 2: Convert to fraction form
    180,152/417,062 = 417,062/x
  3. Step 3: Cross multiply
    180,152x = 417,062 × 417,062
  4. Step 4: Simplify right side
    180,152x = 173,940,711,844
  5. Step 5: Solve for x
    x = 173,940,711,844/180,152
  6. Step 6: Final answer
    x = 965,521.96

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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.