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Finding the Third Proportional to 154,352 and 327,652

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Solution

The third proportional to 154,352 and 327,652 is: 695,526.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,352 : 327,652 = 327,652 : x
  2. Step 2: Convert to fraction form
    154,352/327,652 = 327,652/x
  3. Step 3: Cross multiply
    154,352x = 327,652 × 327,652
  4. Step 4: Simplify right side
    154,352x = 107,355,833,104
  5. Step 5: Solve for x
    x = 107,355,833,104/154,352
  6. Step 6: Final answer
    x = 695,526.03

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.