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Finding the Third Proportional to 163,050 and 252,009

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Solution

The third proportional to 163,050 and 252,009 is: 389,503.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,050 : 252,009 = 252,009 : x
  2. Step 2: Convert to fraction form
    163,050/252,009 = 252,009/x
  3. Step 3: Cross multiply
    163,050x = 252,009 × 252,009
  4. Step 4: Simplify right side
    163,050x = 63,508,536,081
  5. Step 5: Solve for x
    x = 63,508,536,081/163,050
  6. Step 6: Final answer
    x = 389,503.44

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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.