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Finding the Third Proportional to 102,815.50 and 237,997

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Solution

The third proportional to 102,815.50 and 237,997 is: 550,914.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,815.50 : 237,997 = 237,997 : x
  2. Step 2: Convert to fraction form
    102,815.50/237,997 = 237,997/x
  3. Step 3: Cross multiply
    102,815.50x = 237,997 × 237,997
  4. Step 4: Simplify right side
    102,815.50x = 56,642,572,009
  5. Step 5: Solve for x
    x = 56,642,572,009/102,815.50
  6. Step 6: Final answer
    x = 550,914.72

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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.