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Finding the Third Proportional to 164,213 and 247,494

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Solution

The third proportional to 164,213 and 247,494 is: 373,011.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,213 : 247,494 = 247,494 : x
  2. Step 2: Convert to fraction form
    164,213/247,494 = 247,494/x
  3. Step 3: Cross multiply
    164,213x = 247,494 × 247,494
  4. Step 4: Simplify right side
    164,213x = 61,253,280,036
  5. Step 5: Solve for x
    x = 61,253,280,036/164,213
  6. Step 6: Final answer
    x = 373,011.15

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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.