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Finding the Third Proportional to 102,242.25 and 218,700

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Solution

The third proportional to 102,242.25 and 218,700 is: 467,807.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,242.25 : 218,700 = 218,700 : x
  2. Step 2: Convert to fraction form
    102,242.25/218,700 = 218,700/x
  3. Step 3: Cross multiply
    102,242.25x = 218,700 × 218,700
  4. Step 4: Simplify right side
    102,242.25x = 47,829,690,000
  5. Step 5: Solve for x
    x = 47,829,690,000/102,242.25
  6. Step 6: Final answer
    x = 467,807.49

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.