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Finding the Third Proportional to 180,294 and 384,716

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Solution

The third proportional to 180,294 and 384,716 is: 820,916.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,294 : 384,716 = 384,716 : x
  2. Step 2: Convert to fraction form
    180,294/384,716 = 384,716/x
  3. Step 3: Cross multiply
    180,294x = 384,716 × 384,716
  4. Step 4: Simplify right side
    180,294x = 148,006,400,656
  5. Step 5: Solve for x
    x = 148,006,400,656/180,294
  6. Step 6: Final answer
    x = 820,916.95

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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.