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Finding the Third Proportional to 112,410 and 241,326

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Solution

The third proportional to 112,410 and 241,326 is: 518,087.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,410 : 241,326 = 241,326 : x
  2. Step 2: Convert to fraction form
    112,410/241,326 = 241,326/x
  3. Step 3: Cross multiply
    112,410x = 241,326 × 241,326
  4. Step 4: Simplify right side
    112,410x = 58,238,238,276
  5. Step 5: Solve for x
    x = 58,238,238,276/112,410
  6. Step 6: Final answer
    x = 518,087.70

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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.