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Finding the Third Proportional to 149,391 and 326,753

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Solution

The third proportional to 149,391 and 326,753 is: 714,685.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,391 : 326,753 = 326,753 : x
  2. Step 2: Convert to fraction form
    149,391/326,753 = 326,753/x
  3. Step 3: Cross multiply
    149,391x = 326,753 × 326,753
  4. Step 4: Simplify right side
    149,391x = 106,767,523,009
  5. Step 5: Solve for x
    x = 106,767,523,009/149,391
  6. Step 6: Final answer
    x = 714,685.11

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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.