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Finding the Third Proportional to 165,752 and 254,921

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Solution

The third proportional to 165,752 and 254,921 is: 392,059.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,752 : 254,921 = 254,921 : x
  2. Step 2: Convert to fraction form
    165,752/254,921 = 254,921/x
  3. Step 3: Cross multiply
    165,752x = 254,921 × 254,921
  4. Step 4: Simplify right side
    165,752x = 64,984,716,241
  5. Step 5: Solve for x
    x = 64,984,716,241/165,752
  6. Step 6: Final answer
    x = 392,059.92

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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.