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Finding the Third Proportional to 152,639 and 224,544

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Solution

The third proportional to 152,639 and 224,544 is: 330,321.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,639 : 224,544 = 224,544 : x
  2. Step 2: Convert to fraction form
    152,639/224,544 = 224,544/x
  3. Step 3: Cross multiply
    152,639x = 224,544 × 224,544
  4. Step 4: Simplify right side
    152,639x = 50,420,007,936
  5. Step 5: Solve for x
    x = 50,420,007,936/152,639
  6. Step 6: Final answer
    x = 330,321.92

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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.