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Finding the Third Proportional to 163,044 and 252,000

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Solution

The third proportional to 163,044 and 252,000 is: 389,489.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,044 : 252,000 = 252,000 : x
  2. Step 2: Convert to fraction form
    163,044/252,000 = 252,000/x
  3. Step 3: Cross multiply
    163,044x = 252,000 × 252,000
  4. Step 4: Simplify right side
    163,044x = 63,504,000,000
  5. Step 5: Solve for x
    x = 63,504,000,000/163,044
  6. Step 6: Final answer
    x = 389,489.95

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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.