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Finding the Third Proportional to 169,536 and 360,984

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Solution

The third proportional to 169,536 and 360,984 is: 768,624.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,536 : 360,984 = 360,984 : x
  2. Step 2: Convert to fraction form
    169,536/360,984 = 360,984/x
  3. Step 3: Cross multiply
    169,536x = 360,984 × 360,984
  4. Step 4: Simplify right side
    169,536x = 130,309,448,256
  5. Step 5: Solve for x
    x = 130,309,448,256/169,536
  6. Step 6: Final answer
    x = 768,624.06

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.