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Finding the Third Proportional to 180,336 and 385,686

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Solution

The third proportional to 180,336 and 385,686 is: 824,869.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,336 : 385,686 = 385,686 : x
  2. Step 2: Convert to fraction form
    180,336/385,686 = 385,686/x
  3. Step 3: Cross multiply
    180,336x = 385,686 × 385,686
  4. Step 4: Simplify right side
    180,336x = 148,753,690,596
  5. Step 5: Solve for x
    x = 148,753,690,596/180,336
  6. Step 6: Final answer
    x = 824,869.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.