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Finding the Third Proportional to 131,545 and 284,111

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Solution

The third proportional to 131,545 and 284,111 is: 613,623.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,545 : 284,111 = 284,111 : x
  2. Step 2: Convert to fraction form
    131,545/284,111 = 284,111/x
  3. Step 3: Cross multiply
    131,545x = 284,111 × 284,111
  4. Step 4: Simplify right side
    131,545x = 80,719,060,321
  5. Step 5: Solve for x
    x = 80,719,060,321/131,545
  6. Step 6: Final answer
    x = 613,623.17

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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.