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Finding the Third Proportional to 141,468 and 308,208

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Solution

The third proportional to 141,468 and 308,208 is: 671,474.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,468 : 308,208 = 308,208 : x
  2. Step 2: Convert to fraction form
    141,468/308,208 = 308,208/x
  3. Step 3: Cross multiply
    141,468x = 308,208 × 308,208
  4. Step 4: Simplify right side
    141,468x = 94,992,171,264
  5. Step 5: Solve for x
    x = 94,992,171,264/141,468
  6. Step 6: Final answer
    x = 671,474.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.