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Finding the Third Proportional to 179,460 and 243,828

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Solution

The third proportional to 179,460 and 243,828 is: 331,283.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,460 : 243,828 = 243,828 : x
  2. Step 2: Convert to fraction form
    179,460/243,828 = 243,828/x
  3. Step 3: Cross multiply
    179,460x = 243,828 × 243,828
  4. Step 4: Simplify right side
    179,460x = 59,452,093,584
  5. Step 5: Solve for x
    x = 59,452,093,584/179,460
  6. Step 6: Final answer
    x = 331,283.26

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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.