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Finding the Third Proportional to 112,419 and 245,546

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Solution

The third proportional to 112,419 and 245,546 is: 536,322.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,419 : 245,546 = 245,546 : x
  2. Step 2: Convert to fraction form
    112,419/245,546 = 245,546/x
  3. Step 3: Cross multiply
    112,419x = 245,546 × 245,546
  4. Step 4: Simplify right side
    112,419x = 60,292,838,116
  5. Step 5: Solve for x
    x = 60,292,838,116/112,419
  6. Step 6: Final answer
    x = 536,322.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.