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Finding the Third Proportional to 164,834 and 248,019

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Solution

The third proportional to 164,834 and 248,019 is: 373,184.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,834 : 248,019 = 248,019 : x
  2. Step 2: Convert to fraction form
    164,834/248,019 = 248,019/x
  3. Step 3: Cross multiply
    164,834x = 248,019 × 248,019
  4. Step 4: Simplify right side
    164,834x = 61,513,424,361
  5. Step 5: Solve for x
    x = 61,513,424,361/164,834
  6. Step 6: Final answer
    x = 373,184.08

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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.