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Finding the Third Proportional to 131,348 and 284,712

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Solution

The third proportional to 131,348 and 284,712 is: 617,146.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,348 : 284,712 = 284,712 : x
  2. Step 2: Convert to fraction form
    131,348/284,712 = 284,712/x
  3. Step 3: Cross multiply
    131,348x = 284,712 × 284,712
  4. Step 4: Simplify right side
    131,348x = 81,060,922,944
  5. Step 5: Solve for x
    x = 81,060,922,944/131,348
  6. Step 6: Final answer
    x = 617,146.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.