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Finding the Third Proportional to 133,308 and 281,604

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Solution

The third proportional to 133,308 and 281,604 is: 594,869.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,308 : 281,604 = 281,604 : x
  2. Step 2: Convert to fraction form
    133,308/281,604 = 281,604/x
  3. Step 3: Cross multiply
    133,308x = 281,604 × 281,604
  4. Step 4: Simplify right side
    133,308x = 79,300,812,816
  5. Step 5: Solve for x
    x = 79,300,812,816/133,308
  6. Step 6: Final answer
    x = 594,869.12

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.