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Finding the Third Proportional to 114,842 and 243,598

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Solution

The third proportional to 114,842 and 243,598 is: 516,709.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,842 : 243,598 = 243,598 : x
  2. Step 2: Convert to fraction form
    114,842/243,598 = 243,598/x
  3. Step 3: Cross multiply
    114,842x = 243,598 × 243,598
  4. Step 4: Simplify right side
    114,842x = 59,339,985,604
  5. Step 5: Solve for x
    x = 59,339,985,604/114,842
  6. Step 6: Final answer
    x = 516,709.79

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.