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Finding the Third Proportional to 156,262.50 and 323,604

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Solution

The third proportional to 156,262.50 and 323,604 is: 670,151.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,262.50 : 323,604 = 323,604 : x
  2. Step 2: Convert to fraction form
    156,262.50/323,604 = 323,604/x
  3. Step 3: Cross multiply
    156,262.50x = 323,604 × 323,604
  4. Step 4: Simplify right side
    156,262.50x = 104,719,548,816
  5. Step 5: Solve for x
    x = 104,719,548,816/156,262.50
  6. Step 6: Final answer
    x = 670,151.50

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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.