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Finding the Third Proportional to 164,214 and 247,050

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Solution

The third proportional to 164,214 and 247,050 is: 371,671.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,214 : 247,050 = 247,050 : x
  2. Step 2: Convert to fraction form
    164,214/247,050 = 247,050/x
  3. Step 3: Cross multiply
    164,214x = 247,050 × 247,050
  4. Step 4: Simplify right side
    164,214x = 61,033,702,500
  5. Step 5: Solve for x
    x = 61,033,702,500/164,214
  6. Step 6: Final answer
    x = 371,671.74

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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.