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Finding the Third Proportional to 164,754 and 250,290

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Solution

The third proportional to 164,754 and 250,290 is: 380,234.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,754 : 250,290 = 250,290 : x
  2. Step 2: Convert to fraction form
    164,754/250,290 = 250,290/x
  3. Step 3: Cross multiply
    164,754x = 250,290 × 250,290
  4. Step 4: Simplify right side
    164,754x = 62,645,084,100
  5. Step 5: Solve for x
    x = 62,645,084,100/164,754
  6. Step 6: Final answer
    x = 380,234.07

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.