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Finding the Third Proportional to 165,624 and 262,368

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Solution

The third proportional to 165,624 and 262,368 is: 415,621.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,624 : 262,368 = 262,368 : x
  2. Step 2: Convert to fraction form
    165,624/262,368 = 262,368/x
  3. Step 3: Cross multiply
    165,624x = 262,368 × 262,368
  4. Step 4: Simplify right side
    165,624x = 68,836,967,424
  5. Step 5: Solve for x
    x = 68,836,967,424/165,624
  6. Step 6: Final answer
    x = 415,621.94

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.