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Finding the Third Proportional to 165,672 and 263,484

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Solution

The third proportional to 165,672 and 263,484 is: 419,043.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,672 : 263,484 = 263,484 : x
  2. Step 2: Convert to fraction form
    165,672/263,484 = 263,484/x
  3. Step 3: Cross multiply
    165,672x = 263,484 × 263,484
  4. Step 4: Simplify right side
    165,672x = 69,423,818,256
  5. Step 5: Solve for x
    x = 69,423,818,256/165,672
  6. Step 6: Final answer
    x = 419,043.76

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.