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Finding the Third Proportional to 175,644 and 369,643

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Solution

The third proportional to 175,644 and 369,643 is: 777,914.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,644 : 369,643 = 369,643 : x
  2. Step 2: Convert to fraction form
    175,644/369,643 = 369,643/x
  3. Step 3: Cross multiply
    175,644x = 369,643 × 369,643
  4. Step 4: Simplify right side
    175,644x = 136,635,947,449
  5. Step 5: Solve for x
    x = 136,635,947,449/175,644
  6. Step 6: Final answer
    x = 777,914.12

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.