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Finding the Third Proportional to 190,657 and 414,514

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Solution

The third proportional to 190,657 and 414,514 is: 901,209.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,657 : 414,514 = 414,514 : x
  2. Step 2: Convert to fraction form
    190,657/414,514 = 414,514/x
  3. Step 3: Cross multiply
    190,657x = 414,514 × 414,514
  4. Step 4: Simplify right side
    190,657x = 171,821,856,196
  5. Step 5: Solve for x
    x = 171,821,856,196/190,657
  6. Step 6: Final answer
    x = 901,209.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.