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Finding the Third Proportional to 156,584 and 332,608

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Solution

The third proportional to 156,584 and 332,608 is: 706,509.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,584 : 332,608 = 332,608 : x
  2. Step 2: Convert to fraction form
    156,584/332,608 = 332,608/x
  3. Step 3: Cross multiply
    156,584x = 332,608 × 332,608
  4. Step 4: Simplify right side
    156,584x = 110,628,081,664
  5. Step 5: Solve for x
    x = 110,628,081,664/156,584
  6. Step 6: Final answer
    x = 706,509.49

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.