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Finding the Third Proportional to 165,710.81 and 254,853.84

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Solution

The third proportional to 165,710.81 and 254,853.84 is: 391,950.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,710.81 : 254,853.84 = 254,853.84 : x
  2. Step 2: Convert to fraction form
    165,710.81/254,853.84 = 254,853.84/x
  3. Step 3: Cross multiply
    165,710.81x = 254,853.84 × 254,853.84
  4. Step 4: Simplify right side
    165,710.81x = 64,950,481,674.15
  5. Step 5: Solve for x
    x = 64,950,481,674.15/165,710.81
  6. Step 6: Final answer
    x = 391,950.78

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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.