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Finding the Third Proportional to 166,964 and 250,518

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Solution

The third proportional to 166,964 and 250,518 is: 375,885.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,964 : 250,518 = 250,518 : x
  2. Step 2: Convert to fraction form
    166,964/250,518 = 250,518/x
  3. Step 3: Cross multiply
    166,964x = 250,518 × 250,518
  4. Step 4: Simplify right side
    166,964x = 62,759,268,324
  5. Step 5: Solve for x
    x = 62,759,268,324/166,964
  6. Step 6: Final answer
    x = 375,885.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.