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Finding the Third Proportional to 156,532 and 305,224

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Solution

The third proportional to 156,532 and 305,224 is: 595,160.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,532 : 305,224 = 305,224 : x
  2. Step 2: Convert to fraction form
    156,532/305,224 = 305,224/x
  3. Step 3: Cross multiply
    156,532x = 305,224 × 305,224
  4. Step 4: Simplify right side
    156,532x = 93,161,690,176
  5. Step 5: Solve for x
    x = 93,161,690,176/156,532
  6. Step 6: Final answer
    x = 595,160.67

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.