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Finding the Third Proportional to 112,804 and 242,620

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Solution

The third proportional to 112,804 and 242,620 is: 521,829.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,804 : 242,620 = 242,620 : x
  2. Step 2: Convert to fraction form
    112,804/242,620 = 242,620/x
  3. Step 3: Cross multiply
    112,804x = 242,620 × 242,620
  4. Step 4: Simplify right side
    112,804x = 58,864,464,400
  5. Step 5: Solve for x
    x = 58,864,464,400/112,804
  6. Step 6: Final answer
    x = 521,829.58

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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.