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Finding the Third Proportional to 163,338 and 252,357.75

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Solution

The third proportional to 163,338 and 252,357.75 is: 389,893.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,338 : 252,357.75 = 252,357.75 : x
  2. Step 2: Convert to fraction form
    163,338/252,357.75 = 252,357.75/x
  3. Step 3: Cross multiply
    163,338x = 252,357.75 × 252,357.75
  4. Step 4: Simplify right side
    163,338x = 63,684,433,985.06
  5. Step 5: Solve for x
    x = 63,684,433,985.06/163,338
  6. Step 6: Final answer
    x = 389,893.56

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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.