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Finding the Third Proportional to 229,880 and 306,804

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Solution

The third proportional to 229,880 and 306,804 is: 409,468.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,880 : 306,804 = 306,804 : x
  2. Step 2: Convert to fraction form
    229,880/306,804 = 306,804/x
  3. Step 3: Cross multiply
    229,880x = 306,804 × 306,804
  4. Step 4: Simplify right side
    229,880x = 94,128,694,416
  5. Step 5: Solve for x
    x = 94,128,694,416/229,880
  6. Step 6: Final answer
    x = 409,468.83

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.