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Finding the Third Proportional to 114,860 and 243,636

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Solution

The third proportional to 114,860 and 243,636 is: 516,790.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,860 : 243,636 = 243,636 : x
  2. Step 2: Convert to fraction form
    114,860/243,636 = 243,636/x
  3. Step 3: Cross multiply
    114,860x = 243,636 × 243,636
  4. Step 4: Simplify right side
    114,860x = 59,358,500,496
  5. Step 5: Solve for x
    x = 59,358,500,496/114,860
  6. Step 6: Final answer
    x = 516,790.01

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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.