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Finding the Third Proportional to 119,985 and 262,569

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Solution

The third proportional to 119,985 and 262,569 is: 574,592.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,985 : 262,569 = 262,569 : x
  2. Step 2: Convert to fraction form
    119,985/262,569 = 262,569/x
  3. Step 3: Cross multiply
    119,985x = 262,569 × 262,569
  4. Step 4: Simplify right side
    119,985x = 68,942,479,761
  5. Step 5: Solve for x
    x = 68,942,479,761/119,985
  6. Step 6: Final answer
    x = 574,592.49

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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.