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Finding the Third Proportional to 227,884 and 353,772

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Solution

The third proportional to 227,884 and 353,772 is: 549,203.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,884 : 353,772 = 353,772 : x
  2. Step 2: Convert to fraction form
    227,884/353,772 = 353,772/x
  3. Step 3: Cross multiply
    227,884x = 353,772 × 353,772
  4. Step 4: Simplify right side
    227,884x = 125,154,627,984
  5. Step 5: Solve for x
    x = 125,154,627,984/227,884
  6. Step 6: Final answer
    x = 549,203.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.