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Finding the Third Proportional to 156,008 and 256,260

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Solution

The third proportional to 156,008 and 256,260 is: 420,934.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,008 : 256,260 = 256,260 : x
  2. Step 2: Convert to fraction form
    156,008/256,260 = 256,260/x
  3. Step 3: Cross multiply
    156,008x = 256,260 × 256,260
  4. Step 4: Simplify right side
    156,008x = 65,669,187,600
  5. Step 5: Solve for x
    x = 65,669,187,600/156,008
  6. Step 6: Final answer
    x = 420,934.74

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.