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Finding the Third Proportional to 159,214 and 255,659.50

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Solution

The third proportional to 159,214 and 255,659.50 is: 410,527.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,214 : 255,659.50 = 255,659.50 : x
  2. Step 2: Convert to fraction form
    159,214/255,659.50 = 255,659.50/x
  3. Step 3: Cross multiply
    159,214x = 255,659.50 × 255,659.50
  4. Step 4: Simplify right side
    159,214x = 65,361,779,940.25
  5. Step 5: Solve for x
    x = 65,361,779,940.25/159,214
  6. Step 6: Final answer
    x = 410,527.84

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.