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Finding the Third Proportional to 131,534 and 284,090

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Solution

The third proportional to 131,534 and 284,090 is: 613,583.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,534 : 284,090 = 284,090 : x
  2. Step 2: Convert to fraction form
    131,534/284,090 = 284,090/x
  3. Step 3: Cross multiply
    131,534x = 284,090 × 284,090
  4. Step 4: Simplify right side
    131,534x = 80,707,128,100
  5. Step 5: Solve for x
    x = 80,707,128,100/131,534
  6. Step 6: Final answer
    x = 613,583.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.