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Finding the Third Proportional to 159,144 and 346,416

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Solution

The third proportional to 159,144 and 346,416 is: 754,059.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,144 : 346,416 = 346,416 : x
  2. Step 2: Convert to fraction form
    159,144/346,416 = 346,416/x
  3. Step 3: Cross multiply
    159,144x = 346,416 × 346,416
  4. Step 4: Simplify right side
    159,144x = 120,004,045,056
  5. Step 5: Solve for x
    x = 120,004,045,056/159,144
  6. Step 6: Final answer
    x = 754,059.50

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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.