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Finding the Third Proportional to 112,688 and 241,372

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Solution

The third proportional to 112,688 and 241,372 is: 517,006.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,688 : 241,372 = 241,372 : x
  2. Step 2: Convert to fraction form
    112,688/241,372 = 241,372/x
  3. Step 3: Cross multiply
    112,688x = 241,372 × 241,372
  4. Step 4: Simplify right side
    112,688x = 58,260,442,384
  5. Step 5: Solve for x
    x = 58,260,442,384/112,688
  6. Step 6: Final answer
    x = 517,006.62

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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.