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Finding the Third Proportional to 116,653 and 240,666.75

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Solution

The third proportional to 116,653 and 240,666.75 is: 496,519.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,653 : 240,666.75 = 240,666.75 : x
  2. Step 2: Convert to fraction form
    116,653/240,666.75 = 240,666.75/x
  3. Step 3: Cross multiply
    116,653x = 240,666.75 × 240,666.75
  4. Step 4: Simplify right side
    116,653x = 57,920,484,555.56
  5. Step 5: Solve for x
    x = 57,920,484,555.56/116,653
  6. Step 6: Final answer
    x = 496,519.46

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.