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Finding the Third Proportional to 116,316 and 241,272

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Solution

The third proportional to 116,316 and 241,272 is: 500,465.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,316 : 241,272 = 241,272 : x
  2. Step 2: Convert to fraction form
    116,316/241,272 = 241,272/x
  3. Step 3: Cross multiply
    116,316x = 241,272 × 241,272
  4. Step 4: Simplify right side
    116,316x = 58,212,177,984
  5. Step 5: Solve for x
    x = 58,212,177,984/116,316
  6. Step 6: Final answer
    x = 500,465.78

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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.