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Finding the Third Proportional to 179,536 and 265,832

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Solution

The third proportional to 179,536 and 265,832 is: 393,607.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,536 : 265,832 = 265,832 : x
  2. Step 2: Convert to fraction form
    179,536/265,832 = 265,832/x
  3. Step 3: Cross multiply
    179,536x = 265,832 × 265,832
  4. Step 4: Simplify right side
    179,536x = 70,666,652,224
  5. Step 5: Solve for x
    x = 70,666,652,224/179,536
  6. Step 6: Final answer
    x = 393,607.14

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.