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Finding the Third Proportional to 159,466 and 248,903

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Solution

The third proportional to 159,466 and 248,903 is: 388,501.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,466 : 248,903 = 248,903 : x
  2. Step 2: Convert to fraction form
    159,466/248,903 = 248,903/x
  3. Step 3: Cross multiply
    159,466x = 248,903 × 248,903
  4. Step 4: Simplify right side
    159,466x = 61,952,703,409
  5. Step 5: Solve for x
    x = 61,952,703,409/159,466
  6. Step 6: Final answer
    x = 388,501.02

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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.