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Finding the Third Proportional to 98,498 and 202,804

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Solution

The third proportional to 98,498 and 202,804 is: 417,566.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,498 : 202,804 = 202,804 : x
  2. Step 2: Convert to fraction form
    98,498/202,804 = 202,804/x
  3. Step 3: Cross multiply
    98,498x = 202,804 × 202,804
  4. Step 4: Simplify right side
    98,498x = 41,129,462,416
  5. Step 5: Solve for x
    x = 41,129,462,416/98,498
  6. Step 6: Final answer
    x = 417,566.47

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.