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Finding the Third Proportional to 149,850 and 327,312

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Solution

The third proportional to 149,850 and 327,312 is: 714,935.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,850 : 327,312 = 327,312 : x
  2. Step 2: Convert to fraction form
    149,850/327,312 = 327,312/x
  3. Step 3: Cross multiply
    149,850x = 327,312 × 327,312
  4. Step 4: Simplify right side
    149,850x = 107,133,145,344
  5. Step 5: Solve for x
    x = 107,133,145,344/149,850
  6. Step 6: Final answer
    x = 714,935.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.