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Finding the Third Proportional to 150,854.06 and 325,635.56

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Solution

The third proportional to 150,854.06 and 325,635.56 is: 702,921.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,854.06 : 325,635.56 = 325,635.56 : x
  2. Step 2: Convert to fraction form
    150,854.06/325,635.56 = 325,635.56/x
  3. Step 3: Cross multiply
    150,854.06x = 325,635.56 × 325,635.56
  4. Step 4: Simplify right side
    150,854.06x = 106,038,519,564.69
  5. Step 5: Solve for x
    x = 106,038,519,564.69/150,854.06
  6. Step 6: Final answer
    x = 702,921.21

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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.