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Finding the Third Proportional to 166,941 and 250,411.50

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Solution

The third proportional to 166,941 and 250,411.50 is: 375,617.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,941 : 250,411.50 = 250,411.50 : x
  2. Step 2: Convert to fraction form
    166,941/250,411.50 = 250,411.50/x
  3. Step 3: Cross multiply
    166,941x = 250,411.50 × 250,411.50
  4. Step 4: Simplify right side
    166,941x = 62,705,919,332.25
  5. Step 5: Solve for x
    x = 62,705,919,332.25/166,941
  6. Step 6: Final answer
    x = 375,617.25

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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.