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Finding the Third Proportional to 169,063 and 263,273

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Solution

The third proportional to 169,063 and 263,273 is: 409,981.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,063 : 263,273 = 263,273 : x
  2. Step 2: Convert to fraction form
    169,063/263,273 = 263,273/x
  3. Step 3: Cross multiply
    169,063x = 263,273 × 263,273
  4. Step 4: Simplify right side
    169,063x = 69,312,672,529
  5. Step 5: Solve for x
    x = 69,312,672,529/169,063
  6. Step 6: Final answer
    x = 409,981.32

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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.