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Finding the Third Proportional to 115,909.50 and 253,962

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Solution

The third proportional to 115,909.50 and 253,962 is: 556,440.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,909.50 : 253,962 = 253,962 : x
  2. Step 2: Convert to fraction form
    115,909.50/253,962 = 253,962/x
  3. Step 3: Cross multiply
    115,909.50x = 253,962 × 253,962
  4. Step 4: Simplify right side
    115,909.50x = 64,496,697,444
  5. Step 5: Solve for x
    x = 64,496,697,444/115,909.50
  6. Step 6: Final answer
    x = 556,440.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.