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Finding the Third Proportional to 163,884 and 224,283

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Solution

The third proportional to 163,884 and 224,283 is: 306,941.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,884 : 224,283 = 224,283 : x
  2. Step 2: Convert to fraction form
    163,884/224,283 = 224,283/x
  3. Step 3: Cross multiply
    163,884x = 224,283 × 224,283
  4. Step 4: Simplify right side
    163,884x = 50,302,864,089
  5. Step 5: Solve for x
    x = 50,302,864,089/163,884
  6. Step 6: Final answer
    x = 306,941.89

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.