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Finding the Third Proportional to 169,393 and 357,578

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Solution

The third proportional to 169,393 and 357,578 is: 754,824.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,393 : 357,578 = 357,578 : x
  2. Step 2: Convert to fraction form
    169,393/357,578 = 357,578/x
  3. Step 3: Cross multiply
    169,393x = 357,578 × 357,578
  4. Step 4: Simplify right side
    169,393x = 127,862,026,084
  5. Step 5: Solve for x
    x = 127,862,026,084/169,393
  6. Step 6: Final answer
    x = 754,824.73

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.