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Finding the Third Proportional to 164,219 and 247,057

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Solution

The third proportional to 164,219 and 247,057 is: 371,681.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,219 : 247,057 = 247,057 : x
  2. Step 2: Convert to fraction form
    164,219/247,057 = 247,057/x
  3. Step 3: Cross multiply
    164,219x = 247,057 × 247,057
  4. Step 4: Simplify right side
    164,219x = 61,037,161,249
  5. Step 5: Solve for x
    x = 61,037,161,249/164,219
  6. Step 6: Final answer
    x = 371,681.48

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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.