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Finding the Third Proportional to 163,023.75 and 252,216

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Solution

The third proportional to 163,023.75 and 252,216 is: 390,206.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,023.75 : 252,216 = 252,216 : x
  2. Step 2: Convert to fraction form
    163,023.75/252,216 = 252,216/x
  3. Step 3: Cross multiply
    163,023.75x = 252,216 × 252,216
  4. Step 4: Simplify right side
    163,023.75x = 63,612,910,656
  5. Step 5: Solve for x
    x = 63,612,910,656/163,023.75
  6. Step 6: Final answer
    x = 390,206.40

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.