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Finding the Third Proportional to 156,210.50 and 323,497.75

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Solution

The third proportional to 156,210.50 and 323,497.75 is: 669,934.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,210.50 : 323,497.75 = 323,497.75 : x
  2. Step 2: Convert to fraction form
    156,210.50/323,497.75 = 323,497.75/x
  3. Step 3: Cross multiply
    156,210.50x = 323,497.75 × 323,497.75
  4. Step 4: Simplify right side
    156,210.50x = 104,650,794,255.06
  5. Step 5: Solve for x
    x = 104,650,794,255.06/156,210.50
  6. Step 6: Final answer
    x = 669,934.44

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.