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Finding the Third Proportional to 116,623 and 241,543

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Solution

The third proportional to 116,623 and 241,543 is: 500,270.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,623 : 241,543 = 241,543 : x
  2. Step 2: Convert to fraction form
    116,623/241,543 = 241,543/x
  3. Step 3: Cross multiply
    116,623x = 241,543 × 241,543
  4. Step 4: Simplify right side
    116,623x = 58,343,020,849
  5. Step 5: Solve for x
    x = 58,343,020,849/116,623
  6. Step 6: Final answer
    x = 500,270.28

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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.