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Finding the Third Proportional to 114,618.75 and 251,928

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Solution

The third proportional to 114,618.75 and 251,928 is: 553,728.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,618.75 : 251,928 = 251,928 : x
  2. Step 2: Convert to fraction form
    114,618.75/251,928 = 251,928/x
  3. Step 3: Cross multiply
    114,618.75x = 251,928 × 251,928
  4. Step 4: Simplify right side
    114,618.75x = 63,467,717,184
  5. Step 5: Solve for x
    x = 63,467,717,184/114,618.75
  6. Step 6: Final answer
    x = 553,728.92

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.