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Finding the Third Proportional to 152,671 and 224,444

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Solution

The third proportional to 152,671 and 224,444 is: 329,958.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,671 : 224,444 = 224,444 : x
  2. Step 2: Convert to fraction form
    152,671/224,444 = 224,444/x
  3. Step 3: Cross multiply
    152,671x = 224,444 × 224,444
  4. Step 4: Simplify right side
    152,671x = 50,375,109,136
  5. Step 5: Solve for x
    x = 50,375,109,136/152,671
  6. Step 6: Final answer
    x = 329,958.60

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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.