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Finding the Third Proportional to 117,196 and 242,692

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Solution

The third proportional to 117,196 and 242,692 is: 502,571.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,196 : 242,692 = 242,692 : x
  2. Step 2: Convert to fraction form
    117,196/242,692 = 242,692/x
  3. Step 3: Cross multiply
    117,196x = 242,692 × 242,692
  4. Step 4: Simplify right side
    117,196x = 58,899,406,864
  5. Step 5: Solve for x
    x = 58,899,406,864/117,196
  6. Step 6: Final answer
    x = 502,571.82

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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.