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Finding the Third Proportional to 114,162 and 247,596

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Solution

The third proportional to 114,162 and 247,596 is: 536,989.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,162 : 247,596 = 247,596 : x
  2. Step 2: Convert to fraction form
    114,162/247,596 = 247,596/x
  3. Step 3: Cross multiply
    114,162x = 247,596 × 247,596
  4. Step 4: Simplify right side
    114,162x = 61,303,779,216
  5. Step 5: Solve for x
    x = 61,303,779,216/114,162
  6. Step 6: Final answer
    x = 536,989.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.