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Finding the Third Proportional to 112,196 and 242,228

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Solution

The third proportional to 112,196 and 242,228 is: 522,963.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,196 : 242,228 = 242,228 : x
  2. Step 2: Convert to fraction form
    112,196/242,228 = 242,228/x
  3. Step 3: Cross multiply
    112,196x = 242,228 × 242,228
  4. Step 4: Simplify right side
    112,196x = 58,674,403,984
  5. Step 5: Solve for x
    x = 58,674,403,984/112,196
  6. Step 6: Final answer
    x = 522,963.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.