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Finding the Third Proportional to 159,460 and 338,356

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Solution

The third proportional to 159,460 and 338,356 is: 717,952.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,460 : 338,356 = 338,356 : x
  2. Step 2: Convert to fraction form
    159,460/338,356 = 338,356/x
  3. Step 3: Cross multiply
    159,460x = 338,356 × 338,356
  4. Step 4: Simplify right side
    159,460x = 114,484,782,736
  5. Step 5: Solve for x
    x = 114,484,782,736/159,460
  6. Step 6: Final answer
    x = 717,952.98

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.