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Finding the Third Proportional to 137,313.56 and 207,906.75

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Solution

The third proportional to 137,313.56 and 207,906.75 is: 314,792.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,313.56 : 207,906.75 = 207,906.75 : x
  2. Step 2: Convert to fraction form
    137,313.56/207,906.75 = 207,906.75/x
  3. Step 3: Cross multiply
    137,313.56x = 207,906.75 × 207,906.75
  4. Step 4: Simplify right side
    137,313.56x = 43,225,216,695.56
  5. Step 5: Solve for x
    x = 43,225,216,695.56/137,313.56
  6. Step 6: Final answer
    x = 314,792.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.