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Finding the Third Proportional to 102,813 and 237,998

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Solution

The third proportional to 102,813 and 237,998 is: 550,932.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,813 : 237,998 = 237,998 : x
  2. Step 2: Convert to fraction form
    102,813/237,998 = 237,998/x
  3. Step 3: Cross multiply
    102,813x = 237,998 × 237,998
  4. Step 4: Simplify right side
    102,813x = 56,643,048,004
  5. Step 5: Solve for x
    x = 56,643,048,004/102,813
  6. Step 6: Final answer
    x = 550,932.74

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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.