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Finding the Third Proportional to 149,390 and 326,754

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Solution

The third proportional to 149,390 and 326,754 is: 714,694.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,390 : 326,754 = 326,754 : x
  2. Step 2: Convert to fraction form
    149,390/326,754 = 326,754/x
  3. Step 3: Cross multiply
    149,390x = 326,754 × 326,754
  4. Step 4: Simplify right side
    149,390x = 106,768,176,516
  5. Step 5: Solve for x
    x = 106,768,176,516/149,390
  6. Step 6: Final answer
    x = 714,694.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.