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Finding the Third Proportional to 165,742 and 255,072

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Solution

The third proportional to 165,742 and 255,072 is: 392,548.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,742 : 255,072 = 255,072 : x
  2. Step 2: Convert to fraction form
    165,742/255,072 = 255,072/x
  3. Step 3: Cross multiply
    165,742x = 255,072 × 255,072
  4. Step 4: Simplify right side
    165,742x = 65,061,725,184
  5. Step 5: Solve for x
    x = 65,061,725,184/165,742
  6. Step 6: Final answer
    x = 392,548.21

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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.