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Finding the Third Proportional to 147,924.75 and 240,327.75

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Solution

The third proportional to 147,924.75 and 240,327.75 is: 390,451.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,924.75 : 240,327.75 = 240,327.75 : x
  2. Step 2: Convert to fraction form
    147,924.75/240,327.75 = 240,327.75/x
  3. Step 3: Cross multiply
    147,924.75x = 240,327.75 × 240,327.75
  4. Step 4: Simplify right side
    147,924.75x = 57,757,427,420.06
  5. Step 5: Solve for x
    x = 57,757,427,420.06/147,924.75
  6. Step 6: Final answer
    x = 390,451.41

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.