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Finding the Third Proportional to 78,852 and 182,358

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Solution

The third proportional to 78,852 and 182,358 is: 421,732.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,852 : 182,358 = 182,358 : x
  2. Step 2: Convert to fraction form
    78,852/182,358 = 182,358/x
  3. Step 3: Cross multiply
    78,852x = 182,358 × 182,358
  4. Step 4: Simplify right side
    78,852x = 33,254,440,164
  5. Step 5: Solve for x
    x = 33,254,440,164/78,852
  6. Step 6: Final answer
    x = 421,732.36

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.