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Finding the Third Proportional to 149,712.75 and 306,410.63

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Solution

The third proportional to 149,712.75 and 306,410.63 is: 627,117.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,712.75 : 306,410.63 = 306,410.63 : x
  2. Step 2: Convert to fraction form
    149,712.75/306,410.63 = 306,410.63/x
  3. Step 3: Cross multiply
    149,712.75x = 306,410.63 × 306,410.63
  4. Step 4: Simplify right side
    149,712.75x = 93,887,471,112.89
  5. Step 5: Solve for x
    x = 93,887,471,112.89/149,712.75
  6. Step 6: Final answer
    x = 627,117.40

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.