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Finding the Third Proportional to 236,746.75 and 318,972.75

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Solution

The third proportional to 236,746.75 and 318,972.75 is: 429,757.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,746.75 : 318,972.75 = 318,972.75 : x
  2. Step 2: Convert to fraction form
    236,746.75/318,972.75 = 318,972.75/x
  3. Step 3: Cross multiply
    236,746.75x = 318,972.75 × 318,972.75
  4. Step 4: Simplify right side
    236,746.75x = 101,743,615,242.56
  5. Step 5: Solve for x
    x = 101,743,615,242.56/236,746.75
  6. Step 6: Final answer
    x = 429,757.18

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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.