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Finding the Third Proportional to 179,421 and 243,783

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Solution

The third proportional to 179,421 and 243,783 is: 331,232.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,421 : 243,783 = 243,783 : x
  2. Step 2: Convert to fraction form
    179,421/243,783 = 243,783/x
  3. Step 3: Cross multiply
    179,421x = 243,783 × 243,783
  4. Step 4: Simplify right side
    179,421x = 59,430,151,089
  5. Step 5: Solve for x
    x = 59,430,151,089/179,421
  6. Step 6: Final answer
    x = 331,232.97

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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.