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Finding the Third Proportional to 157,557 and 345,738

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Solution

The third proportional to 157,557 and 345,738 is: 758,676.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,557 : 345,738 = 345,738 : x
  2. Step 2: Convert to fraction form
    157,557/345,738 = 345,738/x
  3. Step 3: Cross multiply
    157,557x = 345,738 × 345,738
  4. Step 4: Simplify right side
    157,557x = 119,534,764,644
  5. Step 5: Solve for x
    x = 119,534,764,644/157,557
  6. Step 6: Final answer
    x = 758,676.32

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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.