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Finding the Third Proportional to 159,372 and 346,783

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Solution

The third proportional to 159,372 and 346,783 is: 754,577.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,372 : 346,783 = 346,783 : x
  2. Step 2: Convert to fraction form
    159,372/346,783 = 346,783/x
  3. Step 3: Cross multiply
    159,372x = 346,783 × 346,783
  4. Step 4: Simplify right side
    159,372x = 120,258,449,089
  5. Step 5: Solve for x
    x = 120,258,449,089/159,372
  6. Step 6: Final answer
    x = 754,577.02

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.