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Finding the Third Proportional to 114,780.38 and 243,455.63

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Solution

The third proportional to 114,780.38 and 243,455.63 is: 516,383.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,780.38 : 243,455.63 = 243,455.63 : x
  2. Step 2: Convert to fraction form
    114,780.38/243,455.63 = 243,455.63/x
  3. Step 3: Cross multiply
    114,780.38x = 243,455.63 × 243,455.63
  4. Step 4: Simplify right side
    114,780.38x = 59,270,641,344.14
  5. Step 5: Solve for x
    x = 59,270,641,344.14/114,780.38
  6. Step 6: Final answer
    x = 516,383.06

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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.