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Finding the Third Proportional to 168,466 and 262,835

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Solution

The third proportional to 168,466 and 262,835 is: 410,066.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,466 : 262,835 = 262,835 : x
  2. Step 2: Convert to fraction form
    168,466/262,835 = 262,835/x
  3. Step 3: Cross multiply
    168,466x = 262,835 × 262,835
  4. Step 4: Simplify right side
    168,466x = 69,082,237,225
  5. Step 5: Solve for x
    x = 69,082,237,225/168,466
  6. Step 6: Final answer
    x = 410,066.35

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.