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Finding the Third Proportional to 165,924.75 and 390,024.75

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Solution

The third proportional to 165,924.75 and 390,024.75 is: 916,796.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,924.75 : 390,024.75 = 390,024.75 : x
  2. Step 2: Convert to fraction form
    165,924.75/390,024.75 = 390,024.75/x
  3. Step 3: Cross multiply
    165,924.75x = 390,024.75 × 390,024.75
  4. Step 4: Simplify right side
    165,924.75x = 152,119,305,612.56
  5. Step 5: Solve for x
    x = 152,119,305,612.56/165,924.75
  6. Step 6: Final answer
    x = 916,796.96

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.