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Finding the Third Proportional to 114,399 and 240,570

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Solution

The third proportional to 114,399 and 240,570 is: 505,895.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,399 : 240,570 = 240,570 : x
  2. Step 2: Convert to fraction form
    114,399/240,570 = 240,570/x
  3. Step 3: Cross multiply
    114,399x = 240,570 × 240,570
  4. Step 4: Simplify right side
    114,399x = 57,873,924,900
  5. Step 5: Solve for x
    x = 57,873,924,900/114,399
  6. Step 6: Final answer
    x = 505,895.37

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.