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Finding the Third Proportional to 241,930 and 376,143

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Solution

The third proportional to 241,930 and 376,143 is: 584,811.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,930 : 376,143 = 376,143 : x
  2. Step 2: Convert to fraction form
    241,930/376,143 = 376,143/x
  3. Step 3: Cross multiply
    241,930x = 376,143 × 376,143
  4. Step 4: Simplify right side
    241,930x = 141,483,556,449
  5. Step 5: Solve for x
    x = 141,483,556,449/241,930
  6. Step 6: Final answer
    x = 584,811.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.