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Finding the Third Proportional to 117,201 and 242,706

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Solution

The third proportional to 117,201 and 242,706 is: 502,608.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,201 : 242,706 = 242,706 : x
  2. Step 2: Convert to fraction form
    117,201/242,706 = 242,706/x
  3. Step 3: Cross multiply
    117,201x = 242,706 × 242,706
  4. Step 4: Simplify right side
    117,201x = 58,906,202,436
  5. Step 5: Solve for x
    x = 58,906,202,436/117,201
  6. Step 6: Final answer
    x = 502,608.36

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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.