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Finding the Third Proportional to 151,570 and 224,400

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Solution

The third proportional to 151,570 and 224,400 is: 332,225.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,570 : 224,400 = 224,400 : x
  2. Step 2: Convert to fraction form
    151,570/224,400 = 224,400/x
  3. Step 3: Cross multiply
    151,570x = 224,400 × 224,400
  4. Step 4: Simplify right side
    151,570x = 50,355,360,000
  5. Step 5: Solve for x
    x = 50,355,360,000/151,570
  6. Step 6: Final answer
    x = 332,225.11

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.