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Finding the Third Proportional to 164,500 and 247,964

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Solution

The third proportional to 164,500 and 247,964 is: 373,775.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,500 : 247,964 = 247,964 : x
  2. Step 2: Convert to fraction form
    164,500/247,964 = 247,964/x
  3. Step 3: Cross multiply
    164,500x = 247,964 × 247,964
  4. Step 4: Simplify right side
    164,500x = 61,486,145,296
  5. Step 5: Solve for x
    x = 61,486,145,296/164,500
  6. Step 6: Final answer
    x = 373,775.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.