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Finding the Third Proportional to 147,314 and 327,271

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Solution

The third proportional to 147,314 and 327,271 is: 727,061.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,314 : 327,271 = 327,271 : x
  2. Step 2: Convert to fraction form
    147,314/327,271 = 327,271/x
  3. Step 3: Cross multiply
    147,314x = 327,271 × 327,271
  4. Step 4: Simplify right side
    147,314x = 107,106,307,441
  5. Step 5: Solve for x
    x = 107,106,307,441/147,314
  6. Step 6: Final answer
    x = 727,061.29

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.