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Finding the Third Proportional to 171,445 and 376,114

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Solution

The third proportional to 171,445 and 376,114 is: 825,114.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,445 : 376,114 = 376,114 : x
  2. Step 2: Convert to fraction form
    171,445/376,114 = 376,114/x
  3. Step 3: Cross multiply
    171,445x = 376,114 × 376,114
  4. Step 4: Simplify right side
    171,445x = 141,461,740,996
  5. Step 5: Solve for x
    x = 141,461,740,996/171,445
  6. Step 6: Final answer
    x = 825,114.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.