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Finding the Third Proportional to 169,038 and 263,250

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Solution

The third proportional to 169,038 and 263,250 is: 409,970.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,038 : 263,250 = 263,250 : x
  2. Step 2: Convert to fraction form
    169,038/263,250 = 263,250/x
  3. Step 3: Cross multiply
    169,038x = 263,250 × 263,250
  4. Step 4: Simplify right side
    169,038x = 69,300,562,500
  5. Step 5: Solve for x
    x = 69,300,562,500/169,038
  6. Step 6: Final answer
    x = 409,970.32

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.