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Finding the Third Proportional to 141,392 and 304,456

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Solution

The third proportional to 141,392 and 304,456 is: 655,577.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,392 : 304,456 = 304,456 : x
  2. Step 2: Convert to fraction form
    141,392/304,456 = 304,456/x
  3. Step 3: Cross multiply
    141,392x = 304,456 × 304,456
  4. Step 4: Simplify right side
    141,392x = 92,693,455,936
  5. Step 5: Solve for x
    x = 92,693,455,936/141,392
  6. Step 6: Final answer
    x = 655,577.80

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.