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Finding the Third Proportional to 157,584 and 262,608

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Solution

The third proportional to 157,584 and 262,608 is: 437,626.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,584 : 262,608 = 262,608 : x
  2. Step 2: Convert to fraction form
    157,584/262,608 = 262,608/x
  3. Step 3: Cross multiply
    157,584x = 262,608 × 262,608
  4. Step 4: Simplify right side
    157,584x = 68,962,961,664
  5. Step 5: Solve for x
    x = 68,962,961,664/157,584
  6. Step 6: Final answer
    x = 437,626.67

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.