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Finding the Third Proportional to 114,712.88 and 236,800.69

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Solution

The third proportional to 114,712.88 and 236,800.69 is: 488,825.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,712.88 : 236,800.69 = 236,800.69 : x
  2. Step 2: Convert to fraction form
    114,712.88/236,800.69 = 236,800.69/x
  3. Step 3: Cross multiply
    114,712.88x = 236,800.69 × 236,800.69
  4. Step 4: Simplify right side
    114,712.88x = 56,074,565,600.47
  5. Step 5: Solve for x
    x = 56,074,565,600.47/114,712.88
  6. Step 6: Final answer
    x = 488,825.39

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.