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Finding the Third Proportional to 164,050 and 252,999

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Solution

The third proportional to 164,050 and 252,999 is: 390,176.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,050 : 252,999 = 252,999 : x
  2. Step 2: Convert to fraction form
    164,050/252,999 = 252,999/x
  3. Step 3: Cross multiply
    164,050x = 252,999 × 252,999
  4. Step 4: Simplify right side
    164,050x = 64,008,494,001
  5. Step 5: Solve for x
    x = 64,008,494,001/164,050
  6. Step 6: Final answer
    x = 390,176.74

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.