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Finding the Third Proportional to 102,816.50 and 237,998.25

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Solution

The third proportional to 102,816.50 and 237,998.25 is: 550,915.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,816.50 : 237,998.25 = 237,998.25 : x
  2. Step 2: Convert to fraction form
    102,816.50/237,998.25 = 237,998.25/x
  3. Step 3: Cross multiply
    102,816.50x = 237,998.25 × 237,998.25
  4. Step 4: Simplify right side
    102,816.50x = 56,643,167,003.06
  5. Step 5: Solve for x
    x = 56,643,167,003.06/102,816.50
  6. Step 6: Final answer
    x = 550,915.14

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.