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Finding the Third Proportional to 180,570 and 384,466

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Solution

The third proportional to 180,570 and 384,466 is: 818,597.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,570 : 384,466 = 384,466 : x
  2. Step 2: Convert to fraction form
    180,570/384,466 = 384,466/x
  3. Step 3: Cross multiply
    180,570x = 384,466 × 384,466
  4. Step 4: Simplify right side
    180,570x = 147,814,105,156
  5. Step 5: Solve for x
    x = 147,814,105,156/180,570
  6. Step 6: Final answer
    x = 818,597.25

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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.