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Finding the Third Proportional to 133,034 and 284,516

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Solution

The third proportional to 133,034 and 284,516 is: 608,486.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,034 : 284,516 = 284,516 : x
  2. Step 2: Convert to fraction form
    133,034/284,516 = 284,516/x
  3. Step 3: Cross multiply
    133,034x = 284,516 × 284,516
  4. Step 4: Simplify right side
    133,034x = 80,949,354,256
  5. Step 5: Solve for x
    x = 80,949,354,256/133,034
  6. Step 6: Final answer
    x = 608,486.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.