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Finding the Third Proportional to 145,293.75 and 196,242.75

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Solution

The third proportional to 145,293.75 and 196,242.75 is: 265,057.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,293.75 : 196,242.75 = 196,242.75 : x
  2. Step 2: Convert to fraction form
    145,293.75/196,242.75 = 196,242.75/x
  3. Step 3: Cross multiply
    145,293.75x = 196,242.75 × 196,242.75
  4. Step 4: Simplify right side
    145,293.75x = 38,511,216,927.56
  5. Step 5: Solve for x
    x = 38,511,216,927.56/145,293.75
  6. Step 6: Final answer
    x = 265,057.63

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.