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Finding the Third Proportional to 183,477 and 271,809.50

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Solution

The third proportional to 183,477 and 271,809.50 is: 402,668.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,477 : 271,809.50 = 271,809.50 : x
  2. Step 2: Convert to fraction form
    183,477/271,809.50 = 271,809.50/x
  3. Step 3: Cross multiply
    183,477x = 271,809.50 × 271,809.50
  4. Step 4: Simplify right side
    183,477x = 73,880,404,290.25
  5. Step 5: Solve for x
    x = 73,880,404,290.25/183,477
  6. Step 6: Final answer
    x = 402,668.48

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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.