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Finding the Third Proportional to 150,429 and 327,840

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Solution

The third proportional to 150,429 and 327,840 is: 714,483.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,429 : 327,840 = 327,840 : x
  2. Step 2: Convert to fraction form
    150,429/327,840 = 327,840/x
  3. Step 3: Cross multiply
    150,429x = 327,840 × 327,840
  4. Step 4: Simplify right side
    150,429x = 107,479,065,600
  5. Step 5: Solve for x
    x = 107,479,065,600/150,429
  6. Step 6: Final answer
    x = 714,483.68

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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.