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Finding the Third Proportional to 180,566 and 384,461

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Solution

The third proportional to 180,566 and 384,461 is: 818,594.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,566 : 384,461 = 384,461 : x
  2. Step 2: Convert to fraction form
    180,566/384,461 = 384,461/x
  3. Step 3: Cross multiply
    180,566x = 384,461 × 384,461
  4. Step 4: Simplify right side
    180,566x = 147,810,260,521
  5. Step 5: Solve for x
    x = 147,810,260,521/180,566
  6. Step 6: Final answer
    x = 818,594.09

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.