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Finding the Third Proportional to 241,146 and 515,506.50

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Solution

The third proportional to 241,146 and 515,506.50 is: 1,102,016.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,146 : 515,506.50 = 515,506.50 : x
  2. Step 2: Convert to fraction form
    241,146/515,506.50 = 515,506.50/x
  3. Step 3: Cross multiply
    241,146x = 515,506.50 × 515,506.50
  4. Step 4: Simplify right side
    241,146x = 265,746,951,542.25
  5. Step 5: Solve for x
    x = 265,746,951,542.25/241,146
  6. Step 6: Final answer
    x = 1,102,016.83

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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.