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Finding the Third Proportional to 172,336.50 and 378,688.50

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Solution

The third proportional to 172,336.50 and 378,688.50 is: 832,121.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,336.50 : 378,688.50 = 378,688.50 : x
  2. Step 2: Convert to fraction form
    172,336.50/378,688.50 = 378,688.50/x
  3. Step 3: Cross multiply
    172,336.50x = 378,688.50 × 378,688.50
  4. Step 4: Simplify right side
    172,336.50x = 143,404,980,032.25
  5. Step 5: Solve for x
    x = 143,404,980,032.25/172,336.50
  6. Step 6: Final answer
    x = 832,121.92

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.