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Finding the Third Proportional to 165,152 and 361,948

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Solution

The third proportional to 165,152 and 361,948 is: 793,247.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,152 : 361,948 = 361,948 : x
  2. Step 2: Convert to fraction form
    165,152/361,948 = 361,948/x
  3. Step 3: Cross multiply
    165,152x = 361,948 × 361,948
  4. Step 4: Simplify right side
    165,152x = 131,006,354,704
  5. Step 5: Solve for x
    x = 131,006,354,704/165,152
  6. Step 6: Final answer
    x = 793,247.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.