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Finding the Third Proportional to 165,784 and 254,967

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Solution

The third proportional to 165,784 and 254,967 is: 392,125.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,784 : 254,967 = 254,967 : x
  2. Step 2: Convert to fraction form
    165,784/254,967 = 254,967/x
  3. Step 3: Cross multiply
    165,784x = 254,967 × 254,967
  4. Step 4: Simplify right side
    165,784x = 65,008,171,089
  5. Step 5: Solve for x
    x = 65,008,171,089/165,784
  6. Step 6: Final answer
    x = 392,125.72

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.