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Finding the Third Proportional to 192,102 and 308,655.75

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Solution

The third proportional to 192,102 and 308,655.75 is: 495,925.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,102 : 308,655.75 = 308,655.75 : x
  2. Step 2: Convert to fraction form
    192,102/308,655.75 = 308,655.75/x
  3. Step 3: Cross multiply
    192,102x = 308,655.75 × 308,655.75
  4. Step 4: Simplify right side
    192,102x = 95,268,372,008.06
  5. Step 5: Solve for x
    x = 95,268,372,008.06/192,102
  6. Step 6: Final answer
    x = 495,925.98

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.