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Finding the Third Proportional to 156,618.25 and 235,619.35

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Solution

The third proportional to 156,618.25 and 235,619.35 is: 354,470.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,618.25 : 235,619.35 = 235,619.35 : x
  2. Step 2: Convert to fraction form
    156,618.25/235,619.35 = 235,619.35/x
  3. Step 3: Cross multiply
    156,618.25x = 235,619.35 × 235,619.35
  4. Step 4: Simplify right side
    156,618.25x = 55,516,477,910.35
  5. Step 5: Solve for x
    x = 55,516,477,910.35/156,618.25
  6. Step 6: Final answer
    x = 354,470.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.