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Finding the Third Proportional to 155,642 and 351,701

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Solution

The third proportional to 155,642 and 351,701 is: 794,731.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,642 : 351,701 = 351,701 : x
  2. Step 2: Convert to fraction form
    155,642/351,701 = 351,701/x
  3. Step 3: Cross multiply
    155,642x = 351,701 × 351,701
  4. Step 4: Simplify right side
    155,642x = 123,693,593,401
  5. Step 5: Solve for x
    x = 123,693,593,401/155,642
  6. Step 6: Final answer
    x = 794,731.46

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.