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Finding the Third Proportional to 149,799 and 327,237

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Solution

The third proportional to 149,799 and 327,237 is: 714,851.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,799 : 327,237 = 327,237 : x
  2. Step 2: Convert to fraction form
    149,799/327,237 = 327,237/x
  3. Step 3: Cross multiply
    149,799x = 327,237 × 327,237
  4. Step 4: Simplify right side
    149,799x = 107,084,054,169
  5. Step 5: Solve for x
    x = 107,084,054,169/149,799
  6. Step 6: Final answer
    x = 714,851.60

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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.