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Finding the Third Proportional to 141,080 and 308,392

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Solution

The third proportional to 141,080 and 308,392 is: 674,125.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,080 : 308,392 = 308,392 : x
  2. Step 2: Convert to fraction form
    141,080/308,392 = 308,392/x
  3. Step 3: Cross multiply
    141,080x = 308,392 × 308,392
  4. Step 4: Simplify right side
    141,080x = 95,105,625,664
  5. Step 5: Solve for x
    x = 95,105,625,664/141,080
  6. Step 6: Final answer
    x = 674,125.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.