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Finding the Third Proportional to 119,968 and 262,534

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Solution

The third proportional to 119,968 and 262,534 is: 574,520.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,968 : 262,534 = 262,534 : x
  2. Step 2: Convert to fraction form
    119,968/262,534 = 262,534/x
  3. Step 3: Cross multiply
    119,968x = 262,534 × 262,534
  4. Step 4: Simplify right side
    119,968x = 68,924,101,156
  5. Step 5: Solve for x
    x = 68,924,101,156/119,968
  6. Step 6: Final answer
    x = 574,520.72

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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.