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Finding the Third Proportional to 188,555 and 412,359

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Solution

The third proportional to 188,555 and 412,359 is: 901,805.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,555 : 412,359 = 412,359 : x
  2. Step 2: Convert to fraction form
    188,555/412,359 = 412,359/x
  3. Step 3: Cross multiply
    188,555x = 412,359 × 412,359
  4. Step 4: Simplify right side
    188,555x = 170,039,944,881
  5. Step 5: Solve for x
    x = 170,039,944,881/188,555
  6. Step 6: Final answer
    x = 901,805.55

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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.