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Finding the Third Proportional to 163,111 and 252,089

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Solution

The third proportional to 163,111 and 252,089 is: 389,605.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,111 : 252,089 = 252,089 : x
  2. Step 2: Convert to fraction form
    163,111/252,089 = 252,089/x
  3. Step 3: Cross multiply
    163,111x = 252,089 × 252,089
  4. Step 4: Simplify right side
    163,111x = 63,548,863,921
  5. Step 5: Solve for x
    x = 63,548,863,921/163,111
  6. Step 6: Final answer
    x = 389,605.02

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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.