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Finding the Third Proportional to 116,958 and 253,596

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Solution

The third proportional to 116,958 and 253,596 is: 549,863.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,958 : 253,596 = 253,596 : x
  2. Step 2: Convert to fraction form
    116,958/253,596 = 253,596/x
  3. Step 3: Cross multiply
    116,958x = 253,596 × 253,596
  4. Step 4: Simplify right side
    116,958x = 64,310,931,216
  5. Step 5: Solve for x
    x = 64,310,931,216/116,958
  6. Step 6: Final answer
    x = 549,863.47

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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.