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Finding the Third Proportional to 114,212 and 245,924

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Solution

The third proportional to 114,212 and 245,924 is: 529,529.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,212 : 245,924 = 245,924 : x
  2. Step 2: Convert to fraction form
    114,212/245,924 = 245,924/x
  3. Step 3: Cross multiply
    114,212x = 245,924 × 245,924
  4. Step 4: Simplify right side
    114,212x = 60,478,613,776
  5. Step 5: Solve for x
    x = 60,478,613,776/114,212
  6. Step 6: Final answer
    x = 529,529.42

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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.