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Finding the Third Proportional to 116,629 and 241,556

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Solution

The third proportional to 116,629 and 241,556 is: 500,298.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,629 : 241,556 = 241,556 : x
  2. Step 2: Convert to fraction form
    116,629/241,556 = 241,556/x
  3. Step 3: Cross multiply
    116,629x = 241,556 × 241,556
  4. Step 4: Simplify right side
    116,629x = 58,349,301,136
  5. Step 5: Solve for x
    x = 58,349,301,136/116,629
  6. Step 6: Final answer
    x = 500,298.39

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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.