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Finding the Third Proportional to 156,586.50 and 229,230

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Solution

The third proportional to 156,586.50 and 229,230 is: 335,574.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,586.50 : 229,230 = 229,230 : x
  2. Step 2: Convert to fraction form
    156,586.50/229,230 = 229,230/x
  3. Step 3: Cross multiply
    156,586.50x = 229,230 × 229,230
  4. Step 4: Simplify right side
    156,586.50x = 52,546,392,900
  5. Step 5: Solve for x
    x = 52,546,392,900/156,586.50
  6. Step 6: Final answer
    x = 335,574.22

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.