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Finding the Third Proportional to 182,038 and 284,947

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Solution

The third proportional to 182,038 and 284,947 is: 446,032.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,038 : 284,947 = 284,947 : x
  2. Step 2: Convert to fraction form
    182,038/284,947 = 284,947/x
  3. Step 3: Cross multiply
    182,038x = 284,947 × 284,947
  4. Step 4: Simplify right side
    182,038x = 81,194,792,809
  5. Step 5: Solve for x
    x = 81,194,792,809/182,038
  6. Step 6: Final answer
    x = 446,032.11

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.