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Finding the Third Proportional to 175,686 and 386,358

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Solution

The third proportional to 175,686 and 386,358 is: 849,655.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,686 : 386,358 = 386,358 : x
  2. Step 2: Convert to fraction form
    175,686/386,358 = 386,358/x
  3. Step 3: Cross multiply
    175,686x = 386,358 × 386,358
  4. Step 4: Simplify right side
    175,686x = 149,272,504,164
  5. Step 5: Solve for x
    x = 149,272,504,164/175,686
  6. Step 6: Final answer
    x = 849,655.09

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.