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Finding the Third Proportional to 150,854.25 and 325,635.75

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Solution

The third proportional to 150,854.25 and 325,635.75 is: 702,921.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,854.25 : 325,635.75 = 325,635.75 : x
  2. Step 2: Convert to fraction form
    150,854.25/325,635.75 = 325,635.75/x
  3. Step 3: Cross multiply
    150,854.25x = 325,635.75 × 325,635.75
  4. Step 4: Simplify right side
    150,854.25x = 106,038,641,678.06
  5. Step 5: Solve for x
    x = 106,038,641,678.06/150,854.25
  6. Step 6: Final answer
    x = 702,921.14

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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.