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Finding the Third Proportional to 117,204.75 and 242,716.50

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Solution

The third proportional to 117,204.75 and 242,716.50 is: 502,635.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,204.75 : 242,716.50 = 242,716.50 : x
  2. Step 2: Convert to fraction form
    117,204.75/242,716.50 = 242,716.50/x
  3. Step 3: Cross multiply
    117,204.75x = 242,716.50 × 242,716.50
  4. Step 4: Simplify right side
    117,204.75x = 58,911,299,372.25
  5. Step 5: Solve for x
    x = 58,911,299,372.25/117,204.75
  6. Step 6: Final answer
    x = 502,635.77

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.