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Finding the Third Proportional to 159,172 and 248,445

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Solution

The third proportional to 159,172 and 248,445 is: 387,787.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,172 : 248,445 = 248,445 : x
  2. Step 2: Convert to fraction form
    159,172/248,445 = 248,445/x
  3. Step 3: Cross multiply
    159,172x = 248,445 × 248,445
  4. Step 4: Simplify right side
    159,172x = 61,724,918,025
  5. Step 5: Solve for x
    x = 61,724,918,025/159,172
  6. Step 6: Final answer
    x = 387,787.54

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.