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Finding the Third Proportional to 180,295 and 385,604

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Solution

The third proportional to 180,295 and 385,604 is: 824,706.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,295 : 385,604 = 385,604 : x
  2. Step 2: Convert to fraction form
    180,295/385,604 = 385,604/x
  3. Step 3: Cross multiply
    180,295x = 385,604 × 385,604
  4. Step 4: Simplify right side
    180,295x = 148,690,444,816
  5. Step 5: Solve for x
    x = 148,690,444,816/180,295
  6. Step 6: Final answer
    x = 824,706.42

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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.