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Finding the Third Proportional to 178,632 and 284,348

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Solution

The third proportional to 178,632 and 284,348 is: 452,627.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,632 : 284,348 = 284,348 : x
  2. Step 2: Convert to fraction form
    178,632/284,348 = 284,348/x
  3. Step 3: Cross multiply
    178,632x = 284,348 × 284,348
  4. Step 4: Simplify right side
    178,632x = 80,853,785,104
  5. Step 5: Solve for x
    x = 80,853,785,104/178,632
  6. Step 6: Final answer
    x = 452,627.67

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.