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Finding the Third Proportional to 117,346 and 252,381

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Solution

The third proportional to 117,346 and 252,381 is: 542,806.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,346 : 252,381 = 252,381 : x
  2. Step 2: Convert to fraction form
    117,346/252,381 = 252,381/x
  3. Step 3: Cross multiply
    117,346x = 252,381 × 252,381
  4. Step 4: Simplify right side
    117,346x = 63,696,169,161
  5. Step 5: Solve for x
    x = 63,696,169,161/117,346
  6. Step 6: Final answer
    x = 542,806.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.