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Finding the Third Proportional to 164,834 and 247,140

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Solution

The third proportional to 164,834 and 247,140 is: 370,543.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,834 : 247,140 = 247,140 : x
  2. Step 2: Convert to fraction form
    164,834/247,140 = 247,140/x
  3. Step 3: Cross multiply
    164,834x = 247,140 × 247,140
  4. Step 4: Simplify right side
    164,834x = 61,078,179,600
  5. Step 5: Solve for x
    x = 61,078,179,600/164,834
  6. Step 6: Final answer
    x = 370,543.57

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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.