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Finding the Third Proportional to 156,703.50 and 338,344.50

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Solution

The third proportional to 156,703.50 and 338,344.50 is: 730,532.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,703.50 : 338,344.50 = 338,344.50 : x
  2. Step 2: Convert to fraction form
    156,703.50/338,344.50 = 338,344.50/x
  3. Step 3: Cross multiply
    156,703.50x = 338,344.50 × 338,344.50
  4. Step 4: Simplify right side
    156,703.50x = 114,477,000,680.25
  5. Step 5: Solve for x
    x = 114,477,000,680.25/156,703.50
  6. Step 6: Final answer
    x = 730,532.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.