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Finding the Third Proportional to 169,128 and 342,900

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Solution

The third proportional to 169,128 and 342,900 is: 695,215.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,128 : 342,900 = 342,900 : x
  2. Step 2: Convert to fraction form
    169,128/342,900 = 342,900/x
  3. Step 3: Cross multiply
    169,128x = 342,900 × 342,900
  4. Step 4: Simplify right side
    169,128x = 117,580,410,000
  5. Step 5: Solve for x
    x = 117,580,410,000/169,128
  6. Step 6: Final answer
    x = 695,215.52

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.