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Finding the Third Proportional to 162,090 and 376,824

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Solution

The third proportional to 162,090 and 376,824 is: 876,033.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,090 : 376,824 = 376,824 : x
  2. Step 2: Convert to fraction form
    162,090/376,824 = 376,824/x
  3. Step 3: Cross multiply
    162,090x = 376,824 × 376,824
  4. Step 4: Simplify right side
    162,090x = 141,996,326,976
  5. Step 5: Solve for x
    x = 141,996,326,976/162,090
  6. Step 6: Final answer
    x = 876,033.85

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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.