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Finding the Third Proportional to 152,726 and 224,512

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Solution

The third proportional to 152,726 and 224,512 is: 330,039.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,726 : 224,512 = 224,512 : x
  2. Step 2: Convert to fraction form
    152,726/224,512 = 224,512/x
  3. Step 3: Cross multiply
    152,726x = 224,512 × 224,512
  4. Step 4: Simplify right side
    152,726x = 50,405,638,144
  5. Step 5: Solve for x
    x = 50,405,638,144/152,726
  6. Step 6: Final answer
    x = 330,039.67

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.