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Finding the Third Proportional to 111,507 and 237,418.50

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Solution

The third proportional to 111,507 and 237,418.50 is: 505,506.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,507 : 237,418.50 = 237,418.50 : x
  2. Step 2: Convert to fraction form
    111,507/237,418.50 = 237,418.50/x
  3. Step 3: Cross multiply
    111,507x = 237,418.50 × 237,418.50
  4. Step 4: Simplify right side
    111,507x = 56,367,544,142.25
  5. Step 5: Solve for x
    x = 56,367,544,142.25/111,507
  6. Step 6: Final answer
    x = 505,506.78

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.