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Finding the Third Proportional to 179,083 and 243,357

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Solution

The third proportional to 179,083 and 243,357 is: 330,699.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,083 : 243,357 = 243,357 : x
  2. Step 2: Convert to fraction form
    179,083/243,357 = 243,357/x
  3. Step 3: Cross multiply
    179,083x = 243,357 × 243,357
  4. Step 4: Simplify right side
    179,083x = 59,222,629,449
  5. Step 5: Solve for x
    x = 59,222,629,449/179,083
  6. Step 6: Final answer
    x = 330,699.34

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.