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Finding the Third Proportional to 157,176 and 321,614

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Solution

The third proportional to 157,176 and 321,614 is: 658,087.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,176 : 321,614 = 321,614 : x
  2. Step 2: Convert to fraction form
    157,176/321,614 = 321,614/x
  3. Step 3: Cross multiply
    157,176x = 321,614 × 321,614
  4. Step 4: Simplify right side
    157,176x = 103,435,564,996
  5. Step 5: Solve for x
    x = 103,435,564,996/157,176
  6. Step 6: Final answer
    x = 658,087.53

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.