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Finding the Third Proportional to 114,784.88 and 243,464.63

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Solution

The third proportional to 114,784.88 and 243,464.63 is: 516,400.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,784.88 : 243,464.63 = 243,464.63 : x
  2. Step 2: Convert to fraction form
    114,784.88/243,464.63 = 243,464.63/x
  3. Step 3: Cross multiply
    114,784.88x = 243,464.63 × 243,464.63
  4. Step 4: Simplify right side
    114,784.88x = 59,275,023,626.39
  5. Step 5: Solve for x
    x = 59,275,023,626.39/114,784.88
  6. Step 6: Final answer
    x = 516,400.99

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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.